Membership Management System!?

Hi,

I have just learned of CRM's, and I don't know why. I am new here and new to the possibilities. I have detailed below what I need, Any help would be great.

I work with a religious non-profit, we have an online membership only school and study courses. Our online school is built with wordpress, which has been good for us. We communicate with our members through our Hosting admin email.

Right now, communications and homework assignment etc. are being stored in folders on my computer, only accessible to me for right now.

What I want is a database or software that can be accessed my colleagues and I regarding each member, our email communications with them and they progress through the school.

I don't mind manually imputing the information. As long my whole team can organize, track and update each members information.

Thank you all!