Kaiser ECE Experiences v. private preschool

Recently we went through the IEP assessment process through OUSD for my 3 year old. We thought he just had a speech delay, but turns out he has ASD.  They offered a general education inclusion program. I was wondering if anyone had any experience with Kaiser Early Childhood Center.

Before all of this we did put down a deposit on a private preschool. It seemed great and the hours are better for working parents. My child currently is in a tiny home daycare, part time. He does okay, but honestly there aren’t the same demands in that environment as there would be in a classroom setting. I’m worried that he will have a hard time transitioning preschool and a private school won’t be accepting of his behavior. I don’t know if any parents of ASD children have any insight into this.

My child can talk but is noticeably behind his peers. He tantrums easily/frequently and at home this means throwing objects/hitting (though to my knowledge he has not hit at daycare).