I have created a shortcut that goes to ArcPad today menu, but now I want to remove it. How does one do this?
Did you see this link regarding removing shortcuts?
You either go to the SortCut Apps folder or to the project folder itself and simply delete the lnk file. You can also delete the .ico if you like.
To add/remove other elements on the ArcPadtoday screen you can edit the XML file, in case you don't want the ArcPad default button on it.