I am a fanatic of the GIMP for raster editing; for vectors I used Inkscape, and recently I started to experiment with Xara Xtreme.

My favourite method of work is to doodle, doodle, doodle until there's something sensible on the paper; then I scan it and do all the further editing on computer, with previously listed software.

Though it's my preferred method of work, I love to experiment and test new software, plainly graphical as well as map-specific.