I use george on a notebook with win7 32 bit - no problems.
The only issue I've had is one of the updated screens - for updating multiple jobs doesn't fit within the screen, although I've never had need to use it.
I'm guessing you could alter the display resolution to make everything smaller?
I used to take the notebook out with me - but since I've had a palm pda running pocket george I've not bothered. I just sync it with the notebook when I get home.
My desktop computer is a few years old now, and I've had a couple of laptops in that time too - it's nice to know that George is on a stand alone sysyem, and I back up to the internet each evening.