This is how I cycle:
When you have 9 Villagers (when Isabelle just announced someone moving in works best), I TT 4 days forward - at that point, someone usually wants to move. IF NOT - I TT day by day until someone is in boxes (usually takes another day or two - it just depends if there are any events going on) (1)
When you have 10 Villagers (when the 10th Villager has just moved in), I TT 3 days forward - and then ONE day at a time until someone decides to move. (2)
(go back to the first explanation to continue to get that 9th Villager out)
MOVE-IN'S
Once my 9th Villager has moved out, I TT 4 days forward - then 1 day at a time until Isabelle announces a move-in. I'm not sure if that's how others do it, but that's just what worked for me. Then of course, go back to explanation 1 to continue to cycle.
Some tips:
- Building a campsite helps, especially if it takes too long for someone to move in. It might even be easier to convince a camper to move in to BECOME your 9th Villager - since they always move in within 2 days
- If you're unsure what day you're on (I tend to forget), TT'ing ONE day at a time is always the safe route
- I NEVER talked to my Villagers and they always moved within those 3/4 days of TT'ing. I didn't rely on getting pinged, I wasn't intending to keep any of the Villagers in my cycling town.
- BUUTTTT, if you do intend to keep some of the Villagers in your cycling town - TALK TO THEM FREQUENT. They are more likely to ping you to move and of course tell you who is thinking of moving
I hope this helps! Sorry it's so long....