ChristianForCats,
As others have noted already, non-denominational congregations are not free of the problems of denominations, as is often thought. They merely are tiny denominations. Since you have already ruled out the non-denoms in your area, that point may be moot, but which denominational church to join?
I do not know your beliefs, so it is hard to know how to point you to any particular church based on what is in the original post here, but if you have no preferences at the present, I would say to 1) get hold of some book that compares the denominations and/or 2) take one of those surveys that are online and supposedly tell you what your beliefs approximate (although I find many of them rather inaccurate) and go from there to 3) making visits to the various Protestant churches that are in your area.