If you're seeing those options, you're already logged into Youtube! (Remember that Youtube is part of Google. If you're logged into Google, you're logged into Youtube by default).
To the right of the options you mention you should see a letter in a circle. The letter will be the initial one of the Yotube account that you're logged into. (If you've not added any additional accounts (or 'brands' as Youtube sometimes calls them), it will be the first letter of your Youtube username.
Clicking on that letter will enable you to manage that account, switch to another account, add a new account (via 'Switch account' > 'Add account') or log out.