Can the app bump transfer apps to another iPod?
No. To transfer apps to another iPod this is what you have to
do:
Connect your iPhone into your MAC or PC and iTunes should pop-up
(if it doesn't it means you've disabled it to do so, so open it up
yourself). In the top left side of the screen on your MAC, click
file, then there will be a button which says 'Transfer Purchases
from iPod'. It does not matter if you connect iPhone, iPod,
iPhone... it will do it with anything. Also it includes all free
and paid apps.
After doing this disconnect iPod and connect new iPod where just
sync it; MAKE SURE that the box 'sync apps with iPod' is ticked,
you can check it when you connect your iPod to iTunes, click on it
and there will be a tab called 'APPS', there you will find the
box.
Any other help, just email me or ask a question.
So Conclusion:
1.Connect iPod
2.Click 'Transfer Purchases from iPod/iPhone/iPad...
3.Disconnect iPod
4.Connect new iPod
5.Sync it making sure the box 'sync apps' is ticked.