I am worried that I did not claim the personal amount! What should I do?
You likely did. The Personal Amount is claimed more-or-less automatically when Canadian residents file returns.
Will I be able to claim moving expenses?
Canadian-resident individuals can claim broadly-defined costs of moving for school or work where the move allows them to live 40 or more kilometers closer to the new place of work or study. There are other requirements, but the key question is whether they moved far enough.
Can I claim the elevated personal amount for having a spouse or common-law partner?
If you are married or live common law and support your partner, you may be able to claim the “Spouse or common-law partner tax credit” if you supported them in the year. This generally requires them to have been dependent on you for financial support.
