I agree with Elbert. Simon makes a point, but let's hope you don't need to go there.
I have found plenty of good small appliances at a decent price in Mirab in Belize City. It used to be that you couldn't find good bed linens here but Mirab stocks them now. If you have a special preference for color or pattern you may still want to shop and bring, but the basics are there. BTW, intense thread count sheets are generally too hot for this climate. Recommend no more than 350.
Have found nice cookware, but good kitchen knives remain very difficult to locate here. Would pack those in my moving kit.
The items I stock up on annually from the US are contact lens solution, bulk generic aspirin, reading glasses, ink pens, underware, printer cartridges.