T.K.
A.,
Check directly with your airline...regardless of who purchases the tickets - most often kids items like car seats and strollers do not count against your checked baggage. Also if this is a PCS move, you will get instructions from Transportation as to all the shipments you will have.
Good Luck - I have friends there now who will be leaving this June after a 2 year accompanied tour and they have had a really nice time over there.
T.