Looking to spend a week in the Algarve as part of our honeymoon trip to Portugal. We want luxury but we are not into the bar/club scene. We love to hike/walk and explore the older, more historic parts of the area. My first inclination is either to stay near Tavira on the East or Salema on the West but I could not find any luxury resorts or accomodations in those areas. Luxury to us means modern, clean and with a pool/hot tub/beach access. We will be travelling from Lisbon and are trying to plan this part of our trip without a car. Any suggestions would be greatly appreciated!