Anyone ever travel (fly) with a 2 month old?

Elizabeth A
I might be crazy but I just confirmed I will travel just two months (might even be less if I give birth late) after having the baby. My husband will go with me but I have no idea how this will go. It's a 3 hr flight. Anyone do this before? Any tips? I don't plan on buying a separate seat for the baby - he/she will be on my lap. So what does that mean for our car seat?