I use a combination of a local only solution for the "master list" of passwords that I backup to cloud storage (which is not synced to my phone) in conjunction with the saved passwords & sync capabilities of Firefox for accessing it on my phone. Occasionally I'll be in a position where I'm on my phone and Firefox doesn't happen to have my latest password saved, so I just initiate a password reset for whatever that service is, set it to a new password, and then circle back later when I'm back on my machine to update my local only storage solution. It's not the most streamlined and user friendly, but it works well enough.