Lastpass. Family version. $4.00 / month - up to six users on that plan.
You can organize passwords. Share them securely. Generate them on demand. You never need to know or look up a password except for one that should be long, impossible to guess that is your master password for the password manager. Works with browsers and portable devices. You can also set a user who will temporarily get access in case of emergency or death. In somewhat rare cases, where the need for a password uses non-standard technology, e.g. disables paste operation, you can view a stored password and manually enter it. Those sites s*ck.
Yes. It is secure. If you don't believe it, you have not researched how they do it, or are not sufficiently educated on encryption technology. It also will give you a score and flag poor or stolen passwords so that you can reset them.
Start with the free trial to see if you like how it works. Then
upgrade. Never make up a password again - except for a temporary one if you encounter one of the p*ss poor sites that don't manage passwords properly. Transfer whatever you have into it, then get rid of your hard / private copy. If you go with a family plan, you might have to push-urge-cajole your significant other, that is always too busy, to get with the program.
Onepass has a great reputation. I have not used it.
Trusting a browser cache or password manager is a bad strategy.
Off-topic, slightly. Never trust public wifi's, for example, the kind you get in hotels. Expect that they will already be hacked. If you need to do something securely, either tether to your phone for access or use a VPN (virtual private network). You can set up VPNs to be used on demand.