Welcome to Android Central! It should remember it, if it's an actual password you enter when you select the wi-fi network. Are any of these networks requiring a password on a login website instead?
Its a normal house internet base that has a password and my phone seems to not remember that it's been in that place before and I need to re enter the password every time. It didnt use to do that.
Is it your house or someone else's house? If it's your house, try rebooting the router by unplugging its power for 10 seconds, then plugging it back in again.