To select an area, you can use the following tools - then Copy/Cut/Delete the selection.
Before you select an area, set the Edge to "Anti-alias" or "Feather".
You can draw around an area like this...
If you have that color in the part you want to keep, or if you have more than one shade of a color that you want to get rid of, play with the Tolerance levels when
selecting.
Once you've selected something, you can get rid of the dotted lines ("marching ants") with CTRL+D (Deselect).