Dogs & Car seats?

Katherine • Hi! I'm 34, vegan, and expecting my first through natural conception. So excited to go through this experience!!
Hi all,
I have a Honda Fit & I'm about to purchase a Britax B-safe 35 car seat.  We have a beautiful 3 yo chocolate lab that rides in my backseat to and from daycare twice a week! She's used to having the space all to herself, AND my dog hair cover is for the whole backseat.  I don't think it will work with the car seat.   Any suggestions for creating a comfortable, safe, and stylish (hair free) area for my dog & infant to co-exist??