Has anyone taken a Maxi Cosi Pria 70 or Chicco Nextfit on a plane? Was it a beast and PITA?

I have to wrap up work in my old state for two weeks. Driving down with baby to leave company car in old state. Company will fly me back.

Option 1: use my one of the car seats we already have for the road trip, for flight back
1A) check carseat for flight/ lapbaby
1B) bring carseat on plane/ ask company to pay for extra plane ticket/seat for LO

Option 2: buy an inexpensive travel friendly carseat, for flight back
2A) check carseat/ lap baby
2B) bring careat/ ask for 2nd plane ticket/ seat for LO
Benefit- can probably install this easily in my mom's car during the day if she wants to go out (otherwise she will be home bound)

Option 3: drive back instead of fly & company will pick up rental car tab
Benefit-can load more gear for LO
Potential Issue- car seat installation for 9 hour road trip on way back- DH always has done it, am I up for it?