Need FF Advice

[SalandJeff]

I need advice on accumulating ff miles through credit cards. We currently have Delta Amex cards and have been accumulating miles.

But the cards are up for renewal (at $85 each) and I'd like to get cards that would allow us to get miles for any airlines, and with a lower fee.

We are trying to accumulate the miles for airfare to eastern europe or russia (for our adoption) and the choices of airlines are sometimes limited.

Any advice on which cards have low fees and can be used with many airlines?????

Thanks!