I hvae been running Mint 6 on my Eeepc 1000H for a while now.
I just (yesterday) put Mint 7 on it.
It all works well now.
NOTE: I did have to d/l the Ralink rt2860 WiFi drivers and install them.
A 10" is a good and usable size. Smaller makes it a bit hard to web browse.
Oh I actually have Windows 7 Ultimate on my Eeepc - it runs well (for Windows)
cheers charlie - w8wca
Eeepc 900 XP, Debian & Mint 7
Eeepc 1000H Windows 7 Ultimate, Debian, OpenSolaris, (Ext), common Swap, Eeebuntu
Granular, Mint, CentOS, Fedora 10, OpenSUSE, Back|Track 4b, & Mandriva