Hi Lillian,
You can check out hotels, residentials, casa de hospitalidade, Air BnB, or even hostels. I'd pick one of those and go out to my browser and type that in along with "vila franca do campo" or "ponta garca." You'd be better off staying in Vila Franca, as there's more to do there.
As for the food, I try most things. So I just look at the menu (many are posted outside, some you have to ask for) and if you see something that sounds good to you, then give it a try. Regarding the seafood though....In America, if you order fish or shrimp, they would have the head removed. This does not happen there. You are served the whole thing. If you find salad, the only options for dressing are oil and vinegar. Just so you know.
Cheri Mello
Listowner, Azores-Gen
Researching: São Miguel island: Vila Franca, Ponta Garca, Ribeira Quente, Ribeira das Tainhas, Achada