The fact that you made a thread about this means you care about it more than her. That's a huge part of the issue.
When you're at the point where you have options you'll automatically care a lot less. Would you care if there was a hotter girl meeting you in the bar an hour or two later? Would you care if you already arranged to go to your fuckbuddies place later on? Probably not.
You said you were going for round three. I only have one round of drinks when meeting girls nowadays, that's right, a single round. Sip that drink slowly and watch her mimic your behaviour.
When leaving the bar don't say where you're heading, just say that you're calling it a night and start walking out. She'll think you're ready to end the date and start walking outside with you.
Once outside say that your plan is to go home, but the girl can join you if she wants. If she rejects then just ignore her comment, chat about something else for a minute then repeat the offer, probably a max of three times in total.
If she decides to come, act unphased and say you will get a taxi. If not, say that it's cool, then say goodbye and walk away on a positive note. The interaction isn't over if she doesn't come back, it just means that you'll text her in a few days, meet her near your house, and walk back together.
If you've invited a girl back to your house, then agree to go on another date (coffee..etc) a few days later, that's a beta move and makes it seem like you're back tracking to the girl. My policy is that if a girl rejects my offer the first night, then I assume that she's accepted it the next time we meet.
Just don't mention you're going to your house, add a little mystery and next thing she knows you're at your front door.