I've seen various posts on Steem of people recommending various password managers that they like (you can try searching for those). My preferred password manager would probably not be ideal in this case because it doesn't have a browser plugin and automatic synchronization (but I am more techy so I don't mind giving up a little convenience for other things I value more such as using a free open source tool I can trust).

For regular users, they should probably use a tool that does the synchronization/backups automatically and has convenient browser plugins that will autofill their passwords for them. Some common options include 1Password and LastPass. But I can't really speak to how good these actually are since I don't personally use them.