Can I change iCloud ID I originally created an Apple ID for use on the App Store in iTunes.
When Apple introduced iCloud my Apple ID ended up being used.

I would like to separate these. I don't want to lose my app purchases (which I would like to share with family), so creating a new iCloud ID seems the best option.
I can't find any method of changing. Is this possible?

I assume if I create a new iCloud ID it would need to resynch everything.
They don't have to be the same. Sign out of iCloud in Settings and set up the new Apple ID. Then, if that Apple ID's also been applied to the stores, go to one of them, sign out, and sign back in with your store Apple ID.

Source: My own experience - my iPod Touch works fine with my own Apple ID for iCloud and my family's Apple ID for the stores.