Sorry for long post and being on mobile. Here is a little background. We switched daycares in June due to moving. I went back and forth at the time between putting DD in a daycare with a strong kindergarten readiness (KR) program vs. full-time pre-k at the local catholic school. Because we made the decision to have her go to public for kindergarten we opted to put her in the daycare because she would be with more kids who are going to her elementary school. When we toured the KR teacher had been in the same room for 7 years and we felt great about her teaching style etc… The kids knew their stuff. Fast forward to July she is promoted to an assistant director position at another center owned by the same company and her helper leaves the company. Two new teachers come onboard both leave in September because they were offered positions with the school system. Two new teachers start in September and one of the two leaves, a new one comes onboard, lasts a week is now gone my DD thinks she is out sick because she just stopped and showing up and they have not been able to reach her. I am at my breaking point. I feel that DD is not receiving the education I was sold because there is no consistency. I told the assistant director this today along with my concerns over her development. She still has trouble writing letters and comes home daily telling me all they were doing is playing. The sheets have little detail and no one seems to be able give me a solid assessment on her development because they are not there long enough. The assistant director told me she is going to be teaching in there until they find someone. I like her but I really want to see if I can get DD into the catholic school DH thinks we should just keep her at the center given the school year has started. I do work with her at home, but I have strong expectations that the center be providing at least fraction of the educational experience they sold us on, additionally why are all these teachers leaving seems strange to me. They advertise as a pre-school for the older kids and a daycare for the younger ones. They are in line with our county etc… that is why I have the educational expectations. Any opinions or personal experiences? Would you keep her there since it is already October? My DS also goes there but has not experienced turnover other than a teacher having a baby. He is only two so if I switched her to an actual school I would keep him there. I don’t think there is an issue with the school overall just that class. I do wonder if they expect too much from the teachers and are not paying to standard. For example my DD is supposed to have nightly homework that is supposed to be graded but due to the turnover that has been sporadic.

Re: WWYD: Daycare turnover
This is the most age-inappropriate thing I've ever heard. Children learn through play.
And I too find it odd that there is an expectation for homework at that age group. And graded? That just seems over the top. At 4 years old, I do expect there to be lessons and learning objectives, but definitely not stuff the kids would need to do at home.
MMC 3.30.16
My middle went to a pre-pre-k that had homework. I was grateful it was optional and was not graded. She did it electively. When she went to actual pre-k homework was reading.
This probably belongs in a UO, but I honestly think, after having two kids in elementary who have made the transition, that as long as day care teaches letters, numbers, how to stand in line and raise your hand your kids are set. I don't know if this is the case everywhere, but here, my reading before K child was bored out of her mind in K until the second semester. DS will remain in Montessori (and likely still be reading, but in a less rigorous academic environment before kinder) and I am changing my focus on what I consider "readiness" and "prep".
I would leave the kids both where they are and reach out to the district to determine what they recommend for kinder prep, then ask if the DC/KR program can target the sporadic homework and curriculum in that direction. It sounds like you have an opportunity to ask for that, as they have such high turnover right now.