I use PassKeep as the app. I also use this on home PC and all laptops, so I keep the data file in Dropbox (in the cloud) and can access my passwords from virtually anywhere. I also use a portable version of KeePass on a USB memory stick.
I recently started using Pocket and am very happy with it. Free version is ad supported, $1.99 to remove ads, syncs with PC using Dropbox and there is a PC exe (which makes all the entry much easier). File is AES-256 encrypted and the master password is a SHA-512 hash.
Pocket has entry timeout features and when you exit the app all clipboard is cleared. Seems pretty tight.