I don't know the laws for importing animals, but I know some of the distributors ship worldwide.
I don't think you will have any problem.
The family I stayed with didn't have central AC. Didn't really get too hot, but something to consider when looking for an apartment.
It's really pretty. Most everyone speaks English to some degree, you just have to get them drunk enough to not care about grammatical errors. German is really easy (in my opinion) to learn too.