I have been in the Roman Bath Apartment several times, alone and with my wife. It is an absolute beautiful place, calm and peaceful, nearby the beach but out of "beach life". I like Praia da Luz mostly in wintertime with bright sunshine, but not really hot.
The apartment of Heinz is well located with a terrace, so you can enjoy the early sunshine till the latest sunshine all the day long. You don´t need a car, public transport to Lagos is in a distance of 80 meters. With car you can visit all the wild beaches near Vila do Bispo, Sagres up to Carrapateira. Being retired in some years I will choose this place to stay during wintertime. Plus