Kyrgyzstan - Private driver recommendations and what can’t done with public transportation

hello, i am visiting kyrgyzstan in two weeks for the first time and organizing transportation seems so hard since I’m getting conflicting information online Here is the transportation I need:

1. bishkek to son kul. My hostel said i can take a mini bus from bishkek to kochkor and then another mini bus from kochkor to son kul. Another person said private driver only. Anyone here do it and have any information?
2. son kul to kok kiya. I think this one has to be private transfer. Any one have driver recommendations?
3. kok koya to karakol. Same as number 2 above. I think private driver is mandatory. Any recommendations? I doubt i can use the same driver as from #2
4. karakol to bishkek. I tread there are daily buses and this one is not a problem. Is that accurate?

Thanks so much for any help! i can’t wait to visit and just need transportation sorted