I second having 1Password.
However you are having an issue with one device not using the Keychain properly.
http://support.apple.com/en-us/HT203783
Scroll down and I would start here at:
iCloud Keychain isn't syncing with other devices.
Make sure that your device is on a Wi-Fi or cellular network. If the connection appears strong, try these steps:
Turn off iCloud Keychain on all devices.
Turn on iCloud Keychain on the device that has the most up-to-date keychain items.
Turn on iCloud Keychain on your other devices. They will be updated with your new iCloud Keychain.
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Then I would check
Safari isn't automatically filling in account names and passwords on some websites.
iOS 7.1.1 or later:
Go to Settings > Safari > Passwords & AutoFill and make sure that Names and Passwords is on.
Go to your Home screen and open Safari. If Safari is black or dark instead of white or gray, Private Browsing is on. Safari doesn't save account names and passwords when Private Browsing is on. To turn off Private Browsing:
On iPad, tap the the plus icon in the upper-right corner of the Safari page, then tap Private in the lower-left corner.
On iPhone and iPod touch, tap Tabs icon in the lower-right corner of the Safari page, then tap Private in the lower-left corner.
OS X Mavericks v10.9 or later:
Choose Safari > Preferences, then click Passwords.
Select AutoFill user names and password.
Open the Safari menu and see if Private Browsing is selected. Safari doesn't save account names and passwords when Private Browsing is on.