Shopping in Bermuda isn't waht it used to be, now that Smiths and Triminghams', two of hte major stores have closed. Having said that, Coopers have several stores in Hamilton which require a bit of wqalking, but they have first class stuff. Even though there's no sales tax on the islna,d manyh American products cost more then back home due to import tadxes
A few things I might recommend--the local rum (Goslings) is quite good, expecially the dark variety. There's a loical saucenamed Outerbridges which is like a worcershire sauce and comes in several flavors.
Some cosmetics are cheaper in Bermuda then back hom, so sure to compare prices before you lleave .
Enjoy your trip, and I hope this has been of some help.