We have just returned from a week in Ponta Delgada where we rented a small apartment in the center of the historic downtown. The apartment is clean, well equipped with elevator access. It is one to two minutes away from a supermarket, many fine restaurants and the city hall.
Our host, Eleuterio, met us at the airport and we hired him to show us the island. We went out with him on three very packed and well organized day trips. He was very knowledgeable, good sense of humor and very sensitive to our tastes. Took and sent us off on small hikes. Found great restaurants for lunch and never seemed to tire of showing us his island.
My one mistake was that I forgot to take my swimsuit which would have be useful for a quick dip in the thermal pools.
Highly recommend this place.