Your My Bucket page is your default view when you log in to your account. This is also your default album when you do not select an album when uploading images.
At the top of this page, you will see an option to view all of your Albums and Sub-Albums. Click this and a pop-up will display your albums
The option to select your albums will be separate from your My Bucket. You can select your albums in the upper left hand of your Photobucket home page under your Favorites category.
To access your Sub-Albums from your My Albums page, click on the album you are wanting to view. On the top of the Album page, select Sub-Albums. This will open a new window within the album where all of your sub-albums will be displayed.
You can also select Sub-Albums from under the Album on the main page.