Hello! I am not nor have ever been a cycler myself, but I have seen how many cycling towns operate over time, so I might be of some help.
First of all, how long you cycle is totally up to you. I've seen some that were up for a week, then stopped, and some that have been cycling for over five months. It probably mostly depends on how satisfied you are with your cycling. I've noticed recently that there have been a lot more short-lived cycling threads than there were over the summer. Not sure why that is (probably several factors...)
Anyway, second, villager prices also kind of depend from person to person. There are free cycling threads, then threads where tier 1 buyouts can sometimes be 400 tbt. From what I've seen, the cheaper threads seem to get more attention - for example, tier 1 buyouts being 200, tier 2 being 150, tier 3 being 75, etc. where people are free to make offers below that, but if the buyout is offered, then that person definitely gets the villager. I really like that structure, myself.
Some cyclers allow people to lurk, and some do not. It's totally up to whether you feel you can deal with it or not. When a user lurks for a villager (or several), you write their name down on a list, and when that villager either moves into your town or into boxes, then you notify them via VM that said villager has moved in/is in boxes. Thus, they somewhat get priority over the villager in question. I've seen people get very overwhelmed by this, however, and they become unable to notify every single lurker. (Which, with the recent influx of cycling threads, the lurk lists seem to be shorter. So idk, it's up to you if you want to let people lurk.)
As for name ideas... how about some of these?:
Twinkle
Buntown (since you seem to like bunnies!)
Eclair
Viola
Canela
Fantasia
Luminia
Marigold