Can we claim moving expenses in our situation?

Yes, you can split legitimate moving expenses for a family move with your spouse if that will maximize your deduction or have the spouse with the higher marginal tax rate claim the whole amount. 

If you both claim the Moving Expenses, it's important to remember the following;

1. Do not claim the same expenses twice. You must split the claim and ensure you do not exceed the actual amount you paid.
2. You can each only claim expenses against the income each of you actually earned at your new location. (In the case of a job transfer, you may need to manually calculate this if a separate T4 is not issued.)
3. Have all your documentation (such as a letter from the employer stating if you were reimbursed or not), receipts and an explanation of "why" you made the move to support your claim when CRA requests them.

More information can be found here:

https://turbotax.intuit.ca/tips/moving-tax-deductions-in-canada-481

https://www.canada.ca/en/revenue-agency/services/tax/individuals/topics/about-your-tax-return/tax-re...