ya if your wanting a easy way to move whole islands, there is the move UV tools which selected a whole island and switches to the move transform for you. also tip for both the uv view and the 3d view, holding ctrl+lmb gets you a menu for converting between component types.
Since the only type of selection you can modify UVs with is UV selection, I would suggest hitting ctrl+f12 after you make a face selection to convert to UVs so you can move around etc. Isolating the faces is useful if you do some sort of other projection and have a bunch of stuff overlapping, you can easily see how your…