For Canadian income tax purposes, all the capital property (real estate, stocks, etc.) that you hold anywhere in the world at the time of landing should be valued (by yourself, but with evidence to back it up).
You should have records indicating the fair market value of your capital assets as of your date of landing in Canada and becoming a resident of Canada for tax purposes.
Keep such records safe for future tax purposes.
If you dispose of capital property when you are a tax resident of Canada, you will generate a profit or loss from the disposition (the selling price after closing costs minus the fair market value as of the date on which you became a tax resident of Canada).
This profit or loss will have to be reported in your Canadian income tax return.
This is true whether or not you bring to Canada the proceeds of the sale of your capital property.
For example, if you sell your house in the UK while you're a tax resident of Canada and if you keep the proceeds of the sale in a UK bank account, you still have to report the capital gain or loss on your Canadian income tax return.
There is more detailed information on this topic in the BE Wiki article entitled Tax and House Sales.
If you permanently leave Canada you are deemed to have disposed of all your capital assets at their fair market value. Any resulting capital gain is taxable in Canada.
There are a number of exemptions and elections. If you apply and file these correctly the tax on most assets, except marketable securities, can be avoided or deferred. The most important exemption for most expats is that any gain on their principal private residence up to the date they leave Canada is not taxable.
If you have been tax resident in Canada for 60 months or less the gain on any assets you owned before you became resident, and still own when you leave, is also exempt from tax.
Anyone with substantial assets should be sure to consult an accountant.