Bali & Lombok itinerary suggestions & travel buddies warmly welcomed!

Hi everyone!
I am currently in Ubud, enjoying the colourful & relaxed atmosphere, and will most likely stay here for another week or so (friendly people, delicious food, and yoga; hard to leave!), but after that I would like to travel around Bali, Lombok, and the Gilis (or maybe just Bali & Lombok, or maybe just Lombok & the Gilis, anything is possible, I don't really know what I'm doing!) until approximately november 4th, so that would be about 10 days. I have spent a little bit of time in Denpasar, Jimbaran, Kuta and Seminyak, but am looking to see the "authentic" Bali, and my budget is very tight.. Any ideas of interesting places to visit and the cheapest ways to get there? I am open to any suggestions, and I know what I'm asking is difficult! Also, if anyone would like to join me, be it for a beverage, a meal, a couple of days or the whole shebang, feel free! I am traveling on my own and always welcome new faces :)
Thank you very much!!