Have staff been there a long time or is it full of NQTs with a high turnover?
When you go for a look round, do children seem to be happy and learning? Do you see fun lessons and engaged chatter?
What is the structure of the day, the week? You want sufficient playtime and plenty of drama, PE, music, art.
What is your child interested in? Plenty of sports teams, a drama club, a nurture group?
Do you need wraparound care?
Do you get a positive feel from the Head, does she talk warmly about the children?
I know it's not popular but I'd want at least a satisfactory Ofsted, or a good reason if not, and to see good progress being made.