If you really want to TT, then make sure to do it only after you decline someones move out request (I also recommend you have at least 9 villagers so you don't get a random move-in). Only TT forward, and not back. TTing backwards has ruined my entire town (villagers moving out/in), so I wouldn't risk it. I usually only TT 5 days at a time (every five-six days someone asks to move out if you have 10 villagers, I've found in my experience).
I usually don't risk it moving that far forward at once, do a few days and check up on your people to make sure nobody pings and then go forward a few more days and keep checking, I have had people move out too many times on me from tt'ing so now when I do it I am overly cautious. I actually run around with my megaphone to make sure I check up on all my dreamies.