Sorry for the interjection. Things can be sorted out amicably as well, not sure why she is being encouraged to take the ultimate step of filing for a divorce?No, you can't leave the house because it would be a desertion, you must continue there until giving him the divorce petition. Look at this: https://www.canada.ca/en/immigration-refugees-citizenship/services/immigrate-canada/family-sponsorship/abuse.html they have phone numbers there to help you. You must search a local lawyer to assist you better.
And for the house it depends if you bought it before or after the marriage, and it's material, your happiness is more important and doesn't have a value. If your husband is being abusive with you the law also protects you.
Remember that all your frustration is transmitted to the kids and they repeat the patterns: girls will grow up accostumed to abuse and they'll be submissives with their future partners and boys will grow up being bads to women. Give them the example, divorce and search your happiness. If you are happy your children are happy. Your husband can't take out the children from Canada without your permission.
Secondly, the last time I visited, this was an immigration forum. Looks like it's turned into a Family Disputes/Family Law forum.