It's very important to feel comfortable with the hospital. I'm glad you were able to do it. So much is unknown about childbirth, since you can't predict what kind of labor and delivery you'll have, so it's very reassuring to at least know what the hospital is like.
Try not to worry about the distance of the hospital. For a first baby, there's practically no chance that you won't make it. The worst part will be enduring contractions in the car. Put some old beach towels and a shower curtain in the car now so that you'll have it when the time comes. If her water breaks on the way there, you'll be glad you have them.