Not to Canada, but we have just move continents.
We have rented out house fully furnished. We spoke to two estate agents. One was certain it could be rented furnished, the other certain it could not. We had 5 viewings in 2 weeks, and one set saying they would apply as soon as we had a departure date (we were awaiting visas), one wanting it if they could put all our furniture in storage, and another took it.
With the rest of the stuff, we did serious decluttering, have rented a storage unit for bits, rented a fully furnished house (to the level of spoons, bedding and towels), came over with 6 suitcases, and got 30 boxes shipped flown over.
The kids have missed their bikes and painting stuff (preschoolers).
I've missed kitchen scales and a cake tin.
DH wanted some reference books for work.
Is shipping included in your package? As we were leaving furniture, we took cash in leiu, and arranged through Pickford's. Think furniture would have made the company option look good.
Start now getting rid of bits. I spent several weeks attacking the bottom of cupboards and underneath beds, and seemed to have got rid of a lot without appearing to make a difference.
Also expect it to look worse before it gets better - think about having binned everything that isn't going with you before you put the house up for rent.
Also, not sure what the shipping time to Canada is, but what are you going to sleep on etc while everything is on the water? Do you want to be camping in the shell of a house for 6-8 weeks?