Just tell her to meet at your place. That way, she's comfortable going back as she's already been to your house (I take it that she knows you live with your parents?!). Make sure you mention the movie whilst you're out, as if you just wait to the ride home, it can come across as a last minute excuse to get her to come in. Whereas if you mention "this great film which you have to see!" while your out having fun, she's more likely to agree. After bowling you can head back in your car to your place (make sure it's your car, not her's as she could just let you out & then say "OK, thanks I need to get home" and drive off). If she has to go to your place, for her car, she may be more likely to take up your offer and come in!
Hope the date goes well!