I hate Mission Control, so TotalSpaces is a lifesaver. However I also hate keyboard shortcuts, so I still find myself using Mission Control to move a window to another space. I would love a button on app toolbars, perhaps next to the close/minimize/fullscreen buttons, which gave you a ‘move window to space 2,3,4,5 etc’ list.
You can also use the overview grid to move windows to another space. However it would be a bit quicker to use some move-to-space control in the window title bar as you suggest if you dislike hotkeys. But some apps use that space for tabs or something else I think.
For now, hotkeys are the fastest way.