DOS MAME will work fine, in most cases. Here are some things to be concered with if running in Pure DOS:
1) Sound Card Drivers: Make sure there are DOS Drivers for the sound chipset, as some on-board sets don't have them, and make sure MAME supports the set.
2) Many USB input devices do not work in pure DOS.
3) Make sure your input devices have DOS drivers or will work in pure DOS.
1.8 Celeron should run quite a number of games fine, although it may be slow for some of the newest most-demanding systems like Crusin World, Seattle Games, etc.
If something will not work, you may be best to try Windows or Linux.