Can someone tell me where to get started to get information about pre k programs?

Tbh I just realized that preschool and pre k are different things. I’m still not so sure what the differences are. I want to make the best decision for my kids but need more information. His daycare has a preschool program but bc of his birthday he could possibly go to the daycare’s preschool program at 4 and then another program the next year before kindergarten. Right? I don’t want him going to the same program twice. Anyone else have a kid with a late birthday? He will be 3 in November. I’m lost!