For browser autofill I'm using the KeePassHttp plugin with ChromeIPass.
For InputStick I'm using Keepass2Android with KP2A InputStick.
Autotype is a built-in feature of KeePass on desktop.
Password database is stored on Google Drive, encrypted with a 2-part file and password based key. The file-based component of the key is stored locally offline on all my devices. Changes to the database get synced automatically by Google Drive on my PCs and by Keepass2Android on my phone.
I'm not sure about iOS, unfortunately. My phone is running Android, so I haven't really looked into KeePass clients for iOS.
Is that what you mean? It looks like it's written using Mono for non-Windows platforms. I might have shied away for that reason. What platform do you use it on? I'd love to know if it works well on non-Windows platforms (OS X, Linux).
Another option you might want to look at is KeePassXC. It's a fork of KeePassX, and it has built-in (though off-by-default) support for keepasshttp.
Linux: rock solid for several years now. We have several KP databases shared by 20 odd people that contain several thousand entries. I use it on Gentoo and Arch desktops. It runs under Mono plus a few extras to do things like sending links to browsers and autotype etc.
For autofill, KeeFox works well for me on Firefox - there's probably something similar for Chrome. I think KeePass will do autotype if you right-click on an entry but it's not a feature that I really use so I'm not sure.
I store my password DB in my home folder and use syncthing to synchronize it to my other computers and my phone.
I don't know about iOS but I use KeePassDroid on Android and it works pretty well.
Also how do you store your password file and sync across devices?
And what do you use on iOS? I haven't found a very convenient workflow for my phone. No phone app I've found can keep synced with a password file that's stored on Google Drive.