I have posted this information before on another forum....I would recommend that you take a trip to Perge, Aspendos, Termesoss, caves, Duden waterfalls, boat trip to the waterfalls, rafting at Koprulu Kanyon ( BeÅŸ Konak ).
As for sightseeing Antalya has the old city ( Kaleici), old ottoman fishing houses that are now restored. You most certainly have to stroll around the old city area called the Kaleici. And then down to the marina area. Nice little tea houses etc. Take an afternoon or morning exploring the Antalya museum. Get down to the Beach park area some nice restaurants. Have some beach time either on the Konyaalti side or Lara Side. Visit the Mini-city ( minature park ) located on the Konyaatli beach front just down for the Hillside Su hotel and Water Aqua Park. A miniature park is an open space that displays miniature buildings and models and is open to the public from 9am to 23:00 as listed on its website but maybe call to find out its opening times
Go shopping...my favorite...Shopping in Antalya is super too from the big shopping malls like MMM Migros to the small shops and kioks in the Kaleiçi. Migros has a cinema and also en extensive food court..My kids like it...also there is an amusement park across the street from the Migros shopping mall...or even a trip to the zoo...but it is a bit out of your way located on the far north sid eof the city....would be expensive to take a taxi or confusing to drive there yourselves...
Another museum of interest to visit is the Suna-İnan Kıraç Museum set in an old ottoman fishing house and located in the Kaleici. It holds artifacts from Anatolian culture and local life in the ancient Kaleici.
Helpful web page
http://en.wikipedia.org/wiki/Antalya
just to name a few...
You can see my photos and the historicals sights around Antalya at this page.
http://www.flickr.com/photos/canmom/sets/72157602793497166/
http://www.flickr.com/photos/canmom/sets/72157602796024677/
have a great trip