First, you have to understand, not what you want from a partner, but what you want from your life. Here are some considerations to think about now that you've been dating for four months.
How we are affected by our family background varies.
~Requested~ What happens when Bat-Family members have dates...
Bruce would most likely be going on a date with Selina.
One call per game, the players types KENO if their numbers come up.
Some people simply do not move beyond the emotional injuries of old relationships and remain stuck on them indefinitely.
It's not necessarily a bad thing to learn about your mate's past relationships; it may help you understand her.
Jason would always be able to dish out the jokes, but couldn't really take them; particularly when Dick told him he'd no longer need his helmet as his face was red enough on its own.
Bruce would tell Damian he's too young to date, simple as that.