Looking At Password Login Encryption

Basically what the title says. Im looking into and currently trying to develop a nice secure login. To be honest for this project not much of a security issue but yet learning now will help later.

For this instance though there will be a minimum 1 login user to maybe 4 users. A database in this instance to maybe store the encrypted password dont seem worth while so what other way am I best doing ? Or is still the database the ideal method as obviously they have to be stored somewhere.