Alternatives for kita (Berlin)

Hello, fellow parents! Here's what I'd like to ask.
We are looking for a kita for our daughter (4 y.o.) and as you may imagine this is no easy task in the middle of a school year.
So we are also thinking of some backup options: at the moment we don't need kita for the purposes of looking after our daughter (we both work from home and take turns learning German), but rather for integration - we want to have her immersed in the language, start learning it etc.
What are our options? Any activities we can enrol in?
We don't think straightforward language lessons would work at this age (at least not without a lot of communication).
Any ideas would be greatly appreciated
Thank you