I moved before January 1st, how do I report my moving expenses?

If you incurred moving expenses before the start of the tax year, but started earning income from your new job or educational program in the tax year (or earned very little income from the new job before the tax year), you can enter January 1st as the date of move.

You can only claim moving expenses in the year you start earning income, so this is perfectly acceptable by the CRA.