There are MANY things you need to consider... such as: How much data are you storing in it, how many users are going to access it, is it for the internet or just local use.
Microsoft Access is very good for new database users on a small system with very few simultaneous users. You can create forms in the program and use VBA (Visual Basic for Application) to make some VERY INTUITIVE forms and applications.
MySQL is better for online applications and larger databases, but you need PHP or ASP to display your data.
So you need to be sure to fully understand the scope of your project before 'leaping in with both feet'.