Olga, that is very nice that man want you to go and see them. My opinion is that you try and get them to come and see you first as it is safer for you. And also if you don't have finances it will help a lot as you will know if is worth spending money for a second meeting to go an visit him. Don't take me wrong, i don't mid paying for woman to come and visit but i am not prepared to pay as that is expected from me if i want to meet her! If that is a rule, and i need to meet more then few woman to be able to find a right one, i might need to spend lots of money on their holiday! What if they aim is only that? How do i know if they are serious? But if you are prepared to pay for your self, it shows your commitment and seriousness in what you do.
If you didn't notice, i do originally come from Eastern Europe and i know what is the situation there so to say that majority is that the man is paying for the woman, like restaurants, i agree with, but that is if you are dating and in the same city! If you are married then both of you are working and contributing. But if you are in Omsk and you want to meet a guy in Moscow, i doubt that the man will finance your trip if he doesn't know you! But again, if he does, he does, not be cause its a rule but be cause he wishes to. Is not expected from him to do so.