OP didn't say whether they wanted FAA or JAA training, and it is common to get an FAA PPL and convert it. It gives you many times greater choice of schools. He doesn't seem to want an IR, so I don't think that's relevant; but you can't do a full JAA IR in the US anyway.
I got my JAA PPL at a school in Florida, but have since found that going FAA gives you the choice of some much more pleasant flight schools. They are quality, local outfits; not the big JAA sausage factories.