Fruity loops probably has the most friendly learning curve out of all the DAWs, and once you get the hang of it its very powerful.

You can still use your mini korg, you'll just need to get it synched up with some midi cables, and then you can let your computer control the sounds on your mini korg, or use the mini korg as a controller to control the sounds on your computer.

if you want to use the sounds on your mini-korg, and sounds on your computer you'll need some sort of mixer. A dj mixer will do, but they tend to do slightly strange things to sound quality unless you buy a really expensive one. Still, a dj mixer is a handy thing to have, and cheap, so it might be the practical thing to start with.

Djing... if you want to "i pod dj" I'm guessing you want to do it with mp3 files. The two main platforms to do that with are ableton and traktor. Traktor is a lot more dj friendly IMO, and its a lot closer to traditional djing. Ableton djing is a sort of halfway point between production and djing, its not quite as flexible or fast as traktor djing, and has a different sound and feel to it. You can download both programs on trial and play around, find out which is best for you.