Hiking and biking the Faroe Islands self-contained.

I partially biked the Faroe Islands during the summer of 2017. Here is some advice.

1. Be aware that if you fly into Iceland, you'll have to changed from the international airport to the local one in Reykjavik. This involves extra expenses and squeezing your bike box into busses.
2. No need to print hiking, tourist guides or maps. They're available at the information booth at the airport.
3. The highways leading to the two largest cities are not good for bicycling. They're narrow and the outside lines have safety ruts. You cannot bicycle the undersea tunnels that connect several islands.
4. The Faroes are very expensive. The dollar had a poor exchange rate 70 DKK = $10. Staying 3 weeks, I had to budget my money wisely. I did a lot of camping and bought much of my food from supermarkets.
Day 1: A good place to stop when getting to the Faroes is the hostel in Midvagur (Hostel Giljanes). You can get your bearings a relax from jet lag. they have camping here also. The hostel is friendly, has a nice common room and the manager is very accommodating. Hike out to the waterfall and if you have more energy, you can also walk paths from Sandavagur to approach the "Witch's Finger", which is a prominent rock feature.
Days I-3: I would begin by cycling to Gasadular. It is probably the most popular post card photo of the islands. It's a waterfall into the ocean with a small village and tall mountains in the background. It'll involve on smaller tunnel. A flashing rear light and front lamp is a must. Next I would take the evening ferry to Mykines Island (Ferry is not far from Gasadular) and plan on spending the night. There is a private hostel (Not run very well. I got a room in an unfinished basement) and a campground (With a great view.) Spend the evening exploring the quaint village and some minor walking up the hillside behind the village.
The next morning hike out to the lighthouse. It's a great hike and lots of puffins and other seabirds are found there. Take the evening ferry back and stay in the Midvagur hostel again.
Day 4 Take the bus to Rt. 53 in the island of Streamy. Bicycle the scenic road out to Saksun. The scenery at Saksun is breathtaking. There's no official camping there but the girl at the coffeeshop said the farmer allows it next to the shop for a small fee. It's a short ride but you can spend the day hiking and exploring the beach area. If you want to continue you can ride out to Gjogv (You can hike there from Saksun also.)
Day 5 Ride back to either Hvalvik or Oyrabakki and take the bus to the capital city of Torshavn (alternative, disembark at the tunnel and ride to Rt. 50. Ride this mountainous road into Torshavn. There are two hostels and a campground in Torshavn. If you take Rt. 50, do not ride down into the town as the larger hostel is well up in elevation.
Day 6: Take the ferry to Nolsoy. There's a cute town and you can hike to the lighthouse. You should have waterproof boots as the hike goes through streams and bogs.
Day 7: Ride to Kirkjubour and then take the ferry to Sandoy. The entire Sandoy is fine for biking. Despite the claims of it being the flattest islands, be ready for plenty of hills. As typical, most of the coastal villages involve a good downhill run to reach and then a climb back up to the ring road. You can cover the island in a day or stay for camping. If you choose, you can ferry out to Hestur (Which involves making reservations.) I returned to Torshavn.
Day 8,9: Ferry out to Suduroy. Once again, the entire island is good for bicycling. You can do it in a day, but two would be better. If you want to add hiking, plan on two days. Despite it being listed on the map, the camping is not readily available. However, ask around and you'll be directed to places where you can tent.
Day 10: Take a bus to Klakvik: I used the campground there as a base to explore the area. There's a small indoor area to take shelter if it's raining. Take the local hike up the mountain adjacent to the city.
Day 11: Ferry out to Kalsoy. Cycle to the end of the island to take the lighthouse hike (ignore the tourist information request that you get a guide for about fifty dollars.) The hike is well worth it on a clear day. There will be four tunnels to endure. The first one is the worst. It's all uphill and unlighted. It'll be much easier coming back as you'll be heading downhill. Traffic is almost nonexistent once the burst from the ferry landing passes. I chose not to visit the Seal Woman statue at Mikladalur as it would have involve a second long downhill to the coast and a climb back up to the main road.

Day 12-14 I chose not to bike the outer islands from here as it would have involved passing two long tunnels. The roads are narrow and the small gravel shoulders were rutted and prone to flooding. The busses are too small to accommodate bikes. I took buses to Vidareidi and did the hike. I would definitely recommend (With conditions) that you ferry out to Fugloy and walk the mountain road between the two towns. The ferry ride is beautiful and the villages on Fugloy have been left back in time. I wouldn't do this on a weekend as ferry service is limited and there's nothing to do on the island besides hike. Time it right or you'll have a long ferry ride with nothing to do and no shelter in the event of rain. If you choose, there's a nice simple B&B there, but bring your own entertainment (books, games, etc) as the islands is very quiet-but scenic. I had a long wait for the ferry in the rain and the B&B owner was nice enough to invite me to wait inside and provided tea and cookies. Talking with several international guest at the B&B turned a long and miserable wait (For the ferry) in the rain into one of my favorite times of the trip.
Day 15: Take the Torshavn bus to the tunnel on Rt. 11 and bicycle to Elduvik. Take the hike there (In the guide) to Oyndarfyordur.
Day 16: Ride over the mountain pass to Gjogv. Next to Torshavn, this is probably the most touristy town on the Faroes. There is an overpriced, crowded tent site there run by the guesthouse. The town is quaint with lots of hiking. Due to the terrain, you'll probably want to spend the night there and not climb the pass again until the next day. The guesthouse offers nice dinners (Restaurants with healthy entries are not that easy to find on the Faroes. Lots of pizza, hot dogs, fish and chips, and hamburgers are typical of most eateries.)
Day 17 Ride up the mountain and hike up the highest mountain (Slattaratinfur). I then road to Oyrarbakki and took a bus back to the original hostel at Midvagur to conclude the trip.
On the Faroes, be flexible. If the wind is fierce, plan on hiking or bussing to a location where you'll have the wind behind you. Plan on at least two days where the weather will be too miserable to do much outdoors for long periods of time. You better have a good quality tent to deal with high winds and driving rain. I strategically placed my Torshavn visit for one of these days since they had hostels. Except for Torshavn and Klakvik, there's not much entertainment on the islands. These are the only towns with bike shops (The one in klaksik isn't much.) Bring a bathing suit as indoor swimming pools are the big activity on rainy days. The photography opportunities can match almost anywhere on the planet. Since tourists haven't overrun the island yet, the people are very helpful and friendly. I'm glad I took my bike although I used it a lot less than most trips because in decent weather, the Faroes provide some of the most scenic biking on the planet. Have fun.