How to use an iPod touch with big fingers?
One option is to use the Zoom function from the Accessibility options. From the Settings app, choose General > Accessibility > Zoom and turn Zoom on.

Zoom provides several features:


Once Zoom is turned on, you can double tap with three fingers (assuming you can fit three of your fingers on the screen at once!) to zoom in or out. 
With three fingers you can drag your fingers around to change the area of the screen that is zoomed in.
Tap with three fingers then tap again and drag your fingers up and down to  zoom in and out more.


These should make the targets a bit easier to hit although it will probably slow you down a little.

This function was discovered by a friend who accidentally turned it on after a few drinks and couldn't work out hour to turn it off. An iPod touch is really hard to use when zoomed in if you don't know why it is zoomed in.