If you really just want to move tiles, Dundjinni probably is your best bet. Check out the free trial version:
http://www.dundjinni.com
If you want the ability to make all kinds of maps easily, check out the free trial version of Fractal Mapper 8:
http://www.nbos.com
Also download the free manual/tutorial at:
http://www.nbos.com/nox/index.php?action=1001&id=125
which will give you FM8 at its simplest, vector level. If you're still interested, download our free tutorial for raster mapping with FM8 (advanced but still simple) at:
http://www.vintyri.com/vintyri/tu1.htm