Hello! What I do is TT two days, talk to whatever villager I am most friends with until they get sick of talking to me. Normally they will tell you someone is thinking about moving. If not, I run around the whole town with less than 1000 bells and no items in my inventory. That way, if someone pings you it will most likely be to move and not to buy or sell something. If no one does, I TT one day ahead until someone pings me or someone tells me someone wants to move. Also, if you want to get back to real date, you can time travel backwards as many days as you want (months even) and it only counts as one day cycle. That being said, if someone is in boxes and you time travel backwards they WILL move because it counts as one day.