For those learning English churches has to be plural in english after a lot of
because churches are countable.
("a lot of water" is fine, for example; it does not have to be "a lot of waters")
Ok so does that mean it is always singular after a lot of in hungarian?
Yes. Any number or quantity or similar things, however vague or specific, all require singular.
Why doesn't utazik also take the preposition be to indicate this movement into?