I TT in small doses. If I kept to real time, I would only end up playing late at night, so I would miss anything that happens in morning and afternoon, like certain fishes that only appear in morning or events that happen during the day, not to mention all the shops are closed at night!
Having said all that, I would caution you about heavy TTing. I did that in City Folk, and while I ended up with villagers I wanted, etc., after a while I felt detached from my town. Like it wasn't my town any more if that makes sense. Some people don't struggle with this at all, but if you are like me, you might need to "go slow" to really enjoy the game.
Well, try it both ways. I was able to reconnect with my town by just stop TTing. Villagers moved in and out at a slow pace, I chatted with each villager more, did events super slowly, and then I felt like it was my town again. Reconnecting with your town is not that hard.