Being a good Catholic neighbor in Orthodox countries

Some time ago the Ukrainian Greek Catholic Church (my part-time church home) moved its headquarters from its historic base in L'vov (Lemberg) to Kiev, its original base when most of the bishops in the Ukraine and Byelorussia converted in 1596. (And yes, in English it's "the Ukraine"; deal with it.) The cathedral is modern, not my favorite style but OK. Of course I'd love it if the UGCC were the