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Lastpass can import from Chrome. (You may need to export to CSV and then import the CSV. EDIT: Just looked and there's a menu option to import directly from Chrome on the browser add-in)
On Android at least the integration is great if you have a fingerprint reader. Vast majority of the time it will fill in passwords automatically for apps and websites or, for the few times that doesn't work, it's easy to copy/paste.
Also has add-ins for most web browsers.
I am, have changed a couple already. Currently using Chrome's built-in password manager but it's a bit of a hassle when apps on my iPhone redirect me to Safari. Any suggestions for a good password manager which can import everything from Chrome and is easy to use on iPhone?