Hi there,
The first step is going to be in having her "see" her crib as her bed. Right now, she sees the car seat as her bed. It's very similar to when babies co-sleep and see mom and dad's bed as their bed instead of the crib.
A good place to start would be to help her bed smell like her. Place her crib sheet under her in her car seat for a few days so it smells like her when you put it in her crib. I'm not sure "where" she sleeps when she's in the car seat, but if it's not in her room, then another good thing would be to spend awake time in her room, playing and letting her get to know the space. Let her spend some time playing or laying in her crib.
Sometimes we also suggest that you place a blow up mattress or other temporary bed in her room where mom or dad can lay down while she's learning to fall asleep in her crib.
Mostly, it's going to be about helping her to find a way to be drowsy, then setting her in the crib and allowing her to fall asleep there. It may take some time but the key here is to be consistent. Since she is already familiar with sleeping in a crib a daycare, then I would imagine that this shouldn't be too big a of a transition for her at home but that it's more of a matter of helping her to see her crib as "her" bed.