All I know is, I have 2 kids.
One, WANTED to go to Preschool and TOLD us she wanted to go.
My other child, my son, did NOT want to. HE told us that.
Anyway, from about 4 years old, I took my son WITH me... to visit various Preschools. And, I would observe him at each one, and see what he told me and how he reacted at each preschool.
I told him we are just going to look. He did not like, the Preschool that my daughter went to. Even if it is a real nurturing and cute/nice/good preschool.
Anyway, so one day, we went to a Preschool. And HE TOLD ME, all excitedly "Mommy this is the one! I like this one!" and HE... loved it. And was excited about it. And loved the Teachers there. And then, HE WANTED to go, to "Preschool."
And fortunately, I also liked that Preschool and thought it was good, and they had an opening, and I signed him up. And then, he went to Preschool. Part-time. Half days. And he loved it... and had NO trouble adjusting at all. He never even cried at all. It was never forced. He, wanted to go and loved the Preschool "he" chose.
My son, attended that Preschool for only 6 months. Then, he went on to Kindergarten. And it was fine.