Some schools provide pre-school but this is a paid for service. Depending on your household income you can get government funding. Pre-school is for 2-3 year olds. Nursery is for 3-4 year olds. I'm assuming you work and send your child to a day care facility which in the UK is commonly called Nursery. When your child is 3-4 they can go to a school based Nursery. Again, depending on your working hours your child may be offered a full time place or a part time place. You will need to find childcare arrangements during school holidays.
My oldest went to nursery as I was working. My youngest went to preschool at the age of 2 two mornings a week 9-12 at roughly £80 per month until the age of 3 when she went 5 mornings when funding kicked in. They both went to school nursery which was free. I believe it’s changed now anyway in terms of funding.
My daughters nursery has a pre school room which the children go into once they are 3 x
My eldest stayed at his private nursery until he started school last September. They had a preschool class so it was just the big kid room, essentially. But because it was in a nursery they could keep them year round and before/after school times. A preschool associated with a school will likely only run term time and for school hours (though wrap around care may be available separately) and is generally only from 2 or 3 years old. You pay for both types and can use funded hours and tax free childcare with them both, too.