Hello & welcome.
This is a very touchy subject as you can imagine.
I would recommend Norton 360, it has a password remember facility. It will prompt you to remember passwords (Not all, but most) & then when you visit that page it will then input the stored password for you.
Unfortunately, if you have to re-install Norton 360 (After a system re-build or something), it does not recover the passwords. You are expected to remember them & insert them correctly at the appropriate site. when you do it will then remember them again (It will remember all the wrong ones & input them, until you get it right. Each time you change the password it will remember that one) So once you get it right, you are set.
This does come at a cost though. Norton Antivirus, Norton Internet Security, Norton 360 - Norton Official US Store
I am wrong on the re-installing stuff!
Pleass see my next post regarding recovery of previously known passwords.