You can create/generate & save new login on the fly from the sign-in screen. At least with 1Password. It's clunkier than I think is strictly necessary, but it is effective.
Yep, works through the keyboard. Click on the login or password field, then it gives you a key icon to get into 1Password, where you are prompted to generate a password and provide a username. Then you tell it to autofill that into the form. A little clunky but effective.