I was thinking today:
" Wouldn't be nice if the Arduino had a notch to attach it to a breadboard instead of having them both hang by the wires while moving them". It would be nice to have the arduino attached to a breadboard but would require some engineering I understand.
Get a Nano, plugs right into the breadboard.
If you need to use a Mega or are really set on using an Uno, etc. then you can just mount them both to a board. It's super easy to do with the breadboard because it has double sided foam tape on the back. The Arduino will require some screws and standoffs, one of the holes is too close to the header but you can work around that issue.
There's this...
...and others like it on ebay.
I made my own ─
http://forum.arduino.cc/index.php?topic=391199.0