I can't speak for different countries overseas, but here in Europe, there aren't really common brands like bicycle in the US. So I never had any problems performing here with different decks. I use bicycle decks regulary although the only persons who use them here in Germany are magicians But I never had any problems with someone suspecting a deck. As long as you are consistent with the decks you use and don't use different backs for a packet trick for example,  you should be fine. Unfortunately I have no insight how it is in the US. As  a bicycle deck seems to be in every house.  @DonBoyer: I never payed attention to that fact, but it really seems to convince the audience if the deck has standard faces. although standard poker faces weren't standard here in Europe. Just during the last 10 to 15 years with the poker hype, the american cards become famous. we usually use the french faces for playing cards and we also have country specific cards in some regions (south of Germany or spain for example).