Yes u can BF on planes... theyare very welcoming of it. Prams go in baggage as do car seats....but check with ur airline first how much u can check in asu may get charged a fee. Infants dont get any baggage allowance as such except a pram/car seat/bouncer etc. This is what ive been told by the airlines and travel agents.....but check for yourself.

Most airlines have an infants section on the home page with further info too.

Goodluck!!