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there isn't a way to easily do this, Jane.
You cannot simply transfer authorization for purchased music from one user to another.However, you can always burn purchased tracks out to an audio CD which now becomes like any other audio CD which you can then play on any device.
Yes, you can open a new iTunes account and keep your downloads which have been transferred to CD.
When you open a new iTunes account, any tracks already on the iPod will stay on it, however you should always make a backup in case something goes wrong.