On a computer at everydollar.com:
1. Hover the mouse pointer over the budget item you want to move.
2. Click the () button and drag the budget item.
3. Drop it where you want it to go and you're all set!
Unfortunately, at this time, we don't have a way to move a budget item to a different category/group, since a lot of the built-in reporting is based on group distinction. You would be able to create those items with the same name in a new category if you wanted, however, the data would not transfer.