Go to AMD's driver page,
select Desktop Graphics -> Radeon HD Series -> HD 2xxx Series. Probably not worth your time though. They've long since stopped doing driver updates for graphics cards that old. Like JAE said, time to get a new machine.Dell's driver page
for everything else Windows update doesn't cover.
They brush the dust off every now and then - the last release for the 2600 was in 2013. Frankly they're doing much better than Intel does with supporting their older graphics hardware.
To answer your question, though - the best
way to update your drivers, is manually. Just about the only driver I've run into that you won't find generally available on the net (for post XP hardware) is Sigmatel audio drivers. The easiest
way? With a clean install of Windows, Windows Update will pick up at least a few drivers... sometimes, but I guess you can't count on Windows Update anymore for XP either. At this point I'd say you won't be able to count on *any* automated tool for XP.
For GPU drivers these days, there's really only three places you need to go though. AMD, Nvidia, or Intel.