There are two major challenges to avoiding wheat:

1. It's everywhere!
2. It contains a great deal of gluten, which is essential to produce the type of baking you are used to.

There are bread substitutes, but I have not yet found any that are really satisfactory. That doesn't mean to say there aren't any good breads out there without wheat, so it is well worth trying alternative breads. You can find wheat-free and gluten-free breads in most health-food shops.
Rice cakes are not a bad substitute in some ways. They are at least a substrate to put things on, such as sliced meat, humas, nut butters, jam, butter ... pretty much anything you can put on bread.

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