Need Apps to transfer from itunes!

So I got a new to me computer and I synced everything from my ipod to the comouter by the way its a powerbook g4 running os x 10.5.8, itunes version 10.5.2 and when i sunc my ipod it sunc everything but the apps. Then I updated the ipod to 5.0.1 and it reset everything and I reset my ipod with all the stuff on my new computers itunes. But the apps are not on my itunes or my ipod I have them on another computer. So my question is can I get my apps from the other computer on to my new computer using home sharing or something. I tried home sharing but all it did was show me the other songs off the other computer.

You purchased all the apps from the App store, right? If so, just download them again to the new Mac. You don't have to buy them again.

Ok. Thanks!