All apps are stored on iTunes as well just like music, so if you get a new iPod all the stuff on iTunes will be synced to it, including the apps
To download free apps from your computer to an iPod Touch, first install iTunes on your computer and sign in with your Apple ID. Open the App Store within iTunes, find the apps you want, and click "Get" to download them. Once the apps are downloaded, connect your iPod Touch to the computer via USB, select it in iTunes, and sync the apps to transfer them to your device. Make sure to keep your iPod Touch updated to ensure compatibility with the apps.
for sure, on itunes go to File and select transfer purchases
You buy apps at itunes.
Yes, it doesn't matter what iTunes software you have, you can still download apps from it to download to the iPod Touch.
Yes you can download apps to them from itunes on your computer (then transfer them) or straight to the ipod touch using a wifi connection.
you need an ipod touch or iphone :)
Yes you can. Make a back up of the files through iTunes and then on the other ipod perform a restore from backup
Just use itunes.
Yes. ...That is, assuming that the iTunes account on the computer it's syncing to is the same as the iTunes account that was used to purchase the app from the App Store on the iPod touch.
You can get free apps from iTunes or the App Store.
No... But you can download them from iTunes! And off your iPod Touch.