Matros
I'm not too clued up on the US market, so I can only offer general advice regarding dropshipping.
Firstly, before you go off and sign up with every dropshipper you come across - DO YOUR RESEARCH. Check them out, give them a call, see what's being said about them on forums, try a sample order if you are still not convinced, etc.
Try not to take on too many suppliers at once - you will just not be able to manage them well enough. Start small, with one supplier - get that range selling and turning over, then look at adding to it.
Dropshipping is not a quick get-rich-quick scheme - more a slightly different business model, which still (and maybe moreso) needs the research and work put into it.
Have a good read at the guide 'stickie' thread at the top of this forum, and have a good read through the threads - you will definitely find some useful information there.
Good luck
Mark
Oh, and don't apologise for your English - I don't do Ukranian too well myself
