7 nights in Portugal - Porto, Lisbon and Algarve

Hi everyone,

My wife and I are in our forties and we plan visit Portugal for 7 nights in late September. We will fly in from Paris CDG and back to Paris after our Portugal trip. We are looking at the following itinerary:

• Fly into Porto and arrive in afternoon - 2 nights

• Train to Lisbon/Sintra - 3 nights

• Rent a car and drive to Algarve area - 2 nights

• Drive to Faro or Lisbon and fly out to Paris

While we are foodies, we don't drink so we plan to skip Douro Valley. We are looking for your advice on:

1. Can we cover the must-sees and dos in the 3 areas mentioned? Or should we look to skip Porto or the Algarve?
2. It looks like driving makes sense if we want to cover the various town in the Algarve area. Or should we take bus/car-hire from Lisbon to and while in the Algarve?
3. Any other suggestion?

Thanks much.

Ying