KeePass
KeePass Password Safe is a free and open source software for managing passwords. 

Installation
Installing KeepPass 
KeePass has compatible applications across Linux,Mac,Windows,Android, and iOS. See the full list for more. 
Windows Install
To install KeePass on Windows, use the installer. Follow the instructions presented in the installation wizard.
Android Install 
Keepass2Android is recommended for working with on your Android device. If this does not work, consult the full list page for an alternative. 
Apple
Laptops and Desktops
MacPass is recommended to for Apple computers. 

Storing the Database File
Most people need access to their passwords across devices. During this section we will find a method for ensuring the .kdbx file is shared and modifiable from one device to the next. 
Google Drive
If you have an Android phone and use Keepass2Android, there is integration with Google Drive. This would allow you to sync across. 
Dropbox
FileN
SyncThing

Using KeePass in the Browser
Rather than rely on your browser remembering your passwords, you can integrate KeePass with the browser. 
KeePass Helper for Firefox
KeePass Helper for Chrome