So I got my Trezor all set up now. Is that all I need or are people backing up a Trezor with additional methods?
That's pretty much all you need. As long as you don't lose the seed, you would be able to restore all the keys with it. Keep it somewhere safe.
Note that your PIN protects your bitcoin from theft in case your Trezor is lost or stolen. However, there is no protection if anyone gets your 24 word seed in the proper order unless you also use passphrase encryption. Using a wallet behind a passphrase on a PIN protected Trezor is as secure as it gets. The wallet you use is really of little consequence. The myTrezor web wallet works fine as does latest Electrum.
A privacy issue for some is the fact that Trezor will export your xpub to myTrezor and Electrum servers when you connect to them. If that is a concern you could run your own Electrum server or wait until a wallet that requires a full node like Armory has Trezor support.