Hmmm, for me it would be Uber/Lyft all the way.
The issue (as luckyrabbit points out) is whether or not your child needs a safety seat. If they do AND your ride home is in someone's car, you're going to need the seat for the ride home anyway. So take Uber with your own seat and put the seat in your ride home's car when you get to DL. It'd take a bit of time to-ing and fro-ing, but it's doable.