<human>: Can you condense the text into a few key points?

I'm going to try to keep this short and sweet. I dumped my girlfriend of almost two years about three weeks ago. I had been talking to a different girl near the end of our relationship as a friend from school, and once I became available her intentions became more clear. My family was close to my previous girlfriend, and liked her a lot, but I was bored of her and the whole relationship just got stale.

So I've seen this new girl a couple of times, and things are really going good. We're hanging out tomorrow and she asked if we could go back to my house and just hang out or watch a movie. This worries me because my family had been so close to the previous girl and probably will think I'm insincere in bringing a new girl around so fast. Bringing friends who are girls around the house is not something I normally do unless I have romantic interests.
<bot>: Is it too soon to be bringing new girls around the house, or should my family just accept that I've moved on?