Whenever I try to open up MapEdit/EditArt. It tells me that it isn't compatible with my version of windows, and to check if I'm running x86 or x64.

What OS are you using? Since those are DOS programs you'll need win 95, 98 or ME to get them to work. Otherwise, you'll have to set up dosbox.

I was just about to edit that into the OP. lol
Windows 7 64bit.

I figured I'd have to set it up in DOS box, but I don't know how.

Are you running from the GoG install, or have you installed DOSBox separately (ie. C:\Program Files(x86)\DOSBox-0.74\)?

I'm running the GOG install. It's all installed into C:/Blood with DOSBox in it's own Folder in the Blood folder.

Okay, you can do a few things, but if you want to setup a desktop icon that just launches Mapedit, I would do this:
1. Make a copy of your dosboxBlood.conf file and rename it dosboxMapedit.conf
2. Edit dosboxMapedit.conf with notepad, go down to the bottom and where it says Blood.exe, change it to read Mapedit.exe, save/close
3. Make a copy of your Blood shortcut link and rename the copy Mapedit
4. Right-click and select properties, of your Mapedit shortcut link and edit the Target line so that references your dosboxMapedit.conf file.

Thank you. I'd assume that the same goes for Editart?

Yes, tho if typing doesn't bother you, you could just open DOSBox to a command prompt and type in the utility you plan on using.

To do that, you would take out everything after dosbox.exe on the target line, and then change your dosboxMapedit.conf file to remove everything in the autoexec section after:
MOUNT C: .
C:

If you are just trying to extract the sprites, I would suggest using the art2tga ReBUILD tool. You can find that here: The ReBUILD Project

I've previously written a batch file that will use art2tga to extract the art files and then sort them into groups like wall textures, props, and dudes\zombie etc. You can download that from here: Extract All

wow, that saved a day of tedious work, thanks very much! Am I right in assuming that the tga2art.exe does not open in a window, it is just written as a command in dosbox "tga2art tiles008.art 2048 2303<ENTER>" to get the files into the game?

Glad the extraction part of it worked for you. I've never tried putting the files back into the ART files, but that's how I think it is supposed to work, yes.

The guys that worked on the Alone in the Dark Blood mod had some extra documentation about what they were doing to import images for their weapon mods. You can find that on the Russian Blood Community page. It might help you out some.