[LisaS]

This is easy. No need to use vbulletin code.

Go to UserCP and get rid of everything in your signature area. A clean slate is best.
Now get your training log URL on your clipboard.
Go back to UserCP and go to the Signature area.
TypeTheWordsYouWantToAppear like "My Training Log"
Now highlight those words with your cursor.
Now click the link symbol.
Paste in your URL in the box. If you see http:// starting in the box, delete it before you do the paste.
Done.

You do the same thing in a post if you want to supply a link and have words show and enable the link instead of the link itself. Type the words, highlight the words, clink for the link, paste or type the URL.