I live on the north Norfolk coast (in between Hunstanton and Wells). House prices are ridiculously expensive and it’s mostly second home owners, although to be fair we started off as one and then decided to move their full time.
They have just closed the ONLY full time nursery provision within 10 miles which has caused huge issues for working parents. I have older children but logistically being that remote is the main reason we didn’t move earlier.
Wymondham and Dereham inland have good schools, cheaper house prices and good travel connections. The areas around Norwich and Ely are also worth a look.
The village of Docking is nice, 4 miles from the coast. Good primary school and village shop but no bus routes. Prices are also rapidly increasing so not far how your budget will go.
I personally love Sheringham. Seaside town with lots of amenities, train to Norwich etc. Parking can be a problem in the summer season though so chose location wisely!!!
As for comments on unfriendly people - my village is full of wealthy second home owners who can be rather snooty and you literally only see them in the summer. Norfolk people are lovely. They work at a slower pace of life and community is everything. They like to talk and build relationships, particularly in the villages. If you are there to integrate into their little bubble and pay an active part in local life then you will be accepted.
We love it here.