I went with Keeper.

On my phone it’s only one password to get in

but I'm trying to let go of old habits and try new ways. Time will tell if I revert.

Does everything I need it to--app on iPhone and Windows 10 version. Strong encryption and updates regularly for free (after initial in-app purchase)

I think they also have an android version, but you'd need to double check.

I've been using it for years. It's simple, highly secure, and extremely robust. Runs on Windows, Mac, iOS, Android, and Linux. Among its users is IBM, which recently rolled it out to its employees worldwide. There are browser extensions, optional sync between desktop and mobile devices, family plans, and other features not found in many password managers.

I have hundreds of different passwords for various applications, accounts, and websites, and 1Password keeps track of all this for me and much more. It stores email account details (including server port nos. etc.), secure notes, software license information, bank account info, credit card details, drivers license info, membership account details, wi-fi router info, Social Security numbers, etc. It's truly my auxiliary brain, and as a former IT pro I would not use it if I weren't thoroughly convinced that the developer, Agilebits, knew exactly what the hell they're doing. I have no connection to the company, but I am a big fan. It's the first app I would install on any new device.

1Password will generate and store passwords for you (as simple or as complex as you like), and let you know when they're duplicates, are vulnerable, or have been used on compromised or unsecured websites. You can even set up two-factor authentication through the application, and ask to be reminded when a password is old and expiring.

All this may sound complicated, but for the user it's dead simple. All you have to remember is the one main password (hence the product name), and 1Password does the rest.

There's a two-week free trial, and if you choose to buy it, it's pretty affordable: https://1password.com/

Free, open source. Used it for years.

https://www.pwsafe.org/

LastPass was starting to get a bit wonky a few years ago so I made a switch. Bitwarden has been impeccable and I was even able to import my saved pass word list.
Using it on Win10 laptops and Android phones

Easy to keep the two OSs synced using DropBox or Google Drive or the like.