Does anyone know of any English Language Schools set up for young children of 4-5yrs?

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Growing Minds Kindergarten. A fairly new school in the Rawai part of Phuket.

PM me for more information.

There are kindergartens everywhere. I'm not sure though that is what you mean.

all over the island, Kamala alone has 5 of them

Cravens International Nursery Pre School in Chalong is very good.

Sounds like maybe the OP is looking for a language school and not a kindergarten.
I don't know of any except the plethora of nursery schools and kindergartens around the island.
If you want your child to speak English, and they are not getting it at home from the parents, then school is the best place.

Buds is another one in Chalong.
The OP should tell us where he lives for more localized advice.

The English program at Kajonkiet in Kathu. My boy started at 4 and speaks perfect English and Thai, not all gained from the school of course, but each class has a native English speaker and also a Thai.

SDM