The school environment will have a considerable influence on your child, so it is reasonable to expect the values promoted to at least approximate your own. Values don't just mean moral and religious values. They can also refer to a range of social issues , or even something as mundane as the nutrition available at the school canteen. If it's important to you, its not mundane. There are also practical aspects to consider.
Some schools expect a high level of parent involvement, others less.
After school care is being offered by an increasing number of state and private schools. Many private schools also offer long daycare for preschoolers. If you have other younger children, this may be a reasonable option. Compile a checklist of features which are important to you and your child. Then think about the questions you need to ask to gain the information you need.