To rearrange the order in which your albums display, use the dropdown menu next to Sort at the top of the Your Albums page. You can sort Newest First, Oldest First, or Alphabetically.
Custom ordering is not supported. However, as a workaround, you can place a number as the first character in the album name and then sort your albums alphabetically.
Leaving the Your Albums page will revert the page to sort by Newest First. If you leave and come back, you'll have to re-select your preference from the Sort dropdown menu.
For help rearranging photos within an album, follow Rearranging your photos within an album.