Falset is the most convenient base, with a handful of hotels, including rustic-chic boutique pick Lotus Priorat. There are also good sleeping options in smaller villages like Gratallops, and some wineries offer accommodation for those who fancy overnighting post-tasting.
Several wineries have classy on-site restaurants where you can feast on local cooking washed down with some of Spain's finest wines. Falset has a handful of wonderful, well-priced restaurants and wine bars, particularly along Carrer Miquel Barceló on the south edge of the old centre, where there are also delis specialising in local wines, cheeses, cold meats and more.
Many Priorat and Montsant wineries throw open their doors to wine-loving visitors, though pre-booking is usually essential. Guided tours range from bodega strolls with an introduction to the regions' wines to full-blown vehicle adventures across vineyards; most last 1½ to three hours and finish up with a tasting. Catalan, Spanish and English tours are usually widely available; some wineries offer other languages if you enquire in advance.
Falset's tourist office provides maps, advice and lists of visitable wineries.