HELP! Escaping the City to live by the sea...

Hello
I am considering relocating to Eastbourne with my husband and two young girls. We currently live in South London but have decided to move away from the city before our girls start school for a better quality of life.
We have found a house we like in the Stone Cross area but I'm nervous to make the leap as we know nothing about the area
I have a preschooler and a very young baby so am looking for recommendations/information on any of the following ;
- Good preschools in the area?
- Which primary schools are worth a look for her to start next year?
- Toddler groups/soft play/facilities for mums and babies?
- Things to do in the area, outside of the beach?
- Shopping districts in the surrounding areas? I've seen the town centre in Eastbourne and know of the shopping centre upgrade, but are there other nice shopping areas within a driving distance?
- Good family pubs, places to eat (we do love a Sunday carvery)?
Thanks in advance to anyone who can help