Best is to have her come in and then leave for the date.
Nice to see this suggestion here as this used to be a classic move from Mystery's M3 model. For practical purposes, there were 2 ways of doing it as I remember:
1. You tell the chick to meet you downstairs at your place and buzz you so you'll come down. When she does, you just say: "Hey! Ummm sorry I'm just on the other line, come up quick, apartment number ____". She will usually comply. When she walks in you pretend like you're on the phone (lol!) having an important convo. Make sure the curtains are open, and the apartment is normal and the lights are on so she feels safe etl al. This helps her feel more comfortable, get used to being there and making keen observations.
2. You meet her downstairs at your apartment, start walking and say you "forgot something" OR "forget your keys/wallet/whatever" at your place and go back quickly, invite her up and again get her familiar with your place. Either way it should help seed the pull and make things easier.
Both of the above helped me greatly when I was totally new to this back in the day. To the OP, I don't see any problem with mentioning your place, as I said it should make things easier and seeds the pull. I had this last weekend I shared on the chat where I ended up opening and hooking a 2 set hard while we were waiting for the elevator. Anyways, long story short we were standing outside their place (it was a 2 set as I said) and we talked a bit about apartments here et al. My mistake (looking back on it) was not pushing 20% more than my comfort zone (or whatever the number the OGs used to quote) going inside their place for a "quick glass of water" (it was 5:30AM) but I can see it making the pull easier eventually (Ie ""Ahhh him, he walked us home, saw my car, know where I live, saw my building, we talked, I like him, I'll invite him over, he's safe"")