Do you have any advice for quickly cycling through villagers?
sure! what i usually do is time travel two or three days at a time, and each day, see if any of your villagers pings you (villagers that are planning on moving will always be outside of their house, never indoors or on main street). you can do one day at a time, but in my experience, a day or two of not being in town increases the chances of someone deciding to move.
if no one pings you to move, talk to a villager until they either mention a villager or is moving, or say one of the things here: http://bit.ly/1IqFXNu (this means that no one has decided to move, and that no one will decide to move today, so tt a couple days forward and restart the process) if the mentioned moving villager hasn’t pinged you, save, quit, and resume, and go straight for them without talking to anyone and they should ping you.
if it’s a villager you want to move, great! if it’s a villager you want to keep, say no to them and then tt another two days. villagers can only decide to move while you’re playing, and only one villager can move a day, and once you decline a villager, no one else will decide to move, so you can tt as much as you want safely.
really, all you need to know is how the game works with regard to moving, and then you can figure it out from there. each time you load a new day, the game asks itself if someone will move today. it will decide that no one will move, or it will decide that someone will move, in which case it randomly picks a villager to have move. but since this only happens the first time you play a day, two people can’t decide to move on the same day.
the game supplies the villagers’ rumor talk accordingly: rumors about you are always going to be there, and rumors about other villagers’ relationships are also guaranteed, but there’s a slot that will be filled by either rumors about villagers moving, or random musings about rumors themselves (which are what’s in the bitly link above) depending on what the game decided at the beginning of the day. so keep an eye on what they say!
also, when villagers move out isn’t determined by dates, but by amount of time. villagers move out 5 days after the day they’ve decided to move - so if a villager decides to move on the 10th, they’ll move out the 15th. however, tt’ing backwards any amount counts as tt’ing one day forwards. so if, after the villager has decided to move on the 10th, you tt back to the 5th, that counts as one day forward, so they’ll move out 4 days after that, so they’ll move out the 9th.
oh, also, this is a bit off-topic, but in my experience, relationships with villagers don’t affect their chances of moving. the only trend i’ve noticed is that, as i’ve played more and gotten closer with all my villagers, there’s a lesser chance that any of them will have moved out if i don’t play for a few weeks. i don’t know if that’s because of the amount of time i’ve been playing, my overall relationships with my villagers, or pure coincidence. but ignoring a villager won’t make them move out. in fact, one time in my cycling town, i tried talking to all villagers except the one i wanted to move out, and after like 20 adoptions with her still there, i tried changing my tactics and talking to her, and it turned out the game had glitched somehow: when i greeted her after not talking to her for like 100 years, she reacted as though i had talked to her earlier that day. and then she moved out immediately after. so yeah…
but anyway, that’s all there is to it! i explained it in kinda reverse order, with the steps i take first and then the reasoning behind it afterwards, so maybe reread it if you’re still confused, but you can always ask me if you need anymore help! and also i should clarify, this is all my observations of the game’s behavior, not actual official explanations. so take it with a grain of salt, but i’m pretty positive i’m right, plus it’s always worked for me C:
note: this is for someone who’s trying to get through their 16 villager-cycle, not for running a cycling town. cycling towns are a different story...