Watches try Cardow or Little Switzerland. Sunglasses try sunglass hut there is one located in the A.H. Riise plaza. You can probably find purses there as well.

Vicki,
I'll assume you're shopping on STT. Don't buy the first watch you see/like. There are so many shops that sell the same or similar products in such a small area that the competition is fierce. Make sure you haggle over the price. That's half the fun.

Bassman

We've always had good luck with Little Switzerland. Nice store and helpful staff. My wife LOVES the Coach handbag section.

If you are staying at a resort, or even if you aren't, many of the better resorts offer a free shopping clinic called "Shop Talk". I don't know how often it is held, but the woman who runs it is supposed to be THE offical word on what's hot and what deals can be found at various stores on given days. She has the up to date info, supposedly. I saw her giving her lecture at the Ritz one day, but also read that she comes to Frenchman's Reef.

If you are in Little Switzerland and are in the Coach and/or Tiffany section, ask for Jazzmine - she'll take good care of you and everyone enjoys working with her when they shop. She seems to have a loyal following.