We have the right to private property...
Negative. No property rights in Canada. Intentionally omitted from the Constitution Act of 1982.
Really? No property rights at all? What keeps Terrance and Phillip from forcing you to take a pound of back bacon and some jellies as payment for taking your house away?
A subject can own property at Her Majesty the Queen's good pleasure, and she allows a market in the trade of property, but there is no protected right to such property. For example, if a particular firearm is reclassified as prohibited, you may be required to surrender said firearm without compensation. If the government wants your property, it can take it, and there are many laws that can be invoked to that end. For example, read the Alberta Emergency Management Act.