Connect a host
Four hosts, four completely different ways in. Two of them need nothing but a name or a number and work signed out. One needs an account. One cannot be connected from a browser at all.
Sleeper
Sleeper's API is public and allows browser requests, so this needs no password, no token and no sign-in. Give it the username your leagues are under and every league on that account comes with it.
ESPN
Add a league by its id, the number in your ESPN league URL. The league has to be public — a private one can only be read with ESPN session cookies, which grant access to the whole account rather than just fantasy, and this site will not ask anyone for those.
Yahoo
Yahoo is the one host that cannot work from the browser: its API refuses cross-site requests and its token exchange needs a secret. So the authorisation is held server-side and has to belong to an account here.
CBS
CBS has no key to register for, so the only way in is the session token its own pages use. Open your league while signed in, and in the network tab copy the access_token from any request to your league's address. Unlike a Sleeper username, that token is a credential: it is kept in this browser, sent only to CBS, and never to this site.