Rene welcome. Putting together a LR rig in Canada is no problem. I live in BC and there are excellent gunsmiths from here to you. I hunt mostly mule deer, but have also hunted black bear and moose.
The big issue is focusing what you want from this rifle. Is it a portable or bench gun? How much recoil will you tolerate? How much practise as you willing to do?
I'll describe the three rifles I have and this should help you with your planning.
My walkabout rifle is in 30-06 launching 165gr SST. This combo is suitable to about 700yds on deer. I am not a fan of the 150gr bullets. I have used the 165gr Interlocks, now SST and feel confident that a well placed shot will put down any game I am likely to hunt.
For my portable LR rig, I shoot a 30 Gibbs again with the 165SST. Bullets leave at 2950fps which is similar to the Short Fat magnums. I will be using this for hunting clear cuts and some truck hunting. I feel confident that I can take any game as far as my Leica 800 will range. I have a muzzle brake
on this to control recoil. Will make up a drop table to 950yds this spring.
My bench top gun is a 300WBY. This is too heavy to carry. Will be set up for shooting across valleys, etc. I have shot this gun to 1800m but will limit to 1000yds again. Guess what, the bullet will be the 165gr SST. Have also used the 155gr AMax but think the extra weight/toughness will work better. This rifle also has a muzzle brake.
In the works is a 300RUM, I can now go further but will probably spend more time as a LR plinker then hunting rifle. Will weigh about 45lbs and has a 35" barrel. Should launch 240gr MK at 3100fps+.
To limit costs, I build most of my magnums on an Enfield P14 action. Very strong and inexpensive to get. I find the BSA or Parker Hale sporterized ones with the actions already drilled for scope bases. For about $100, I have a magnum action.
A Gaillard, Smith, King or MacKennan barrel can be installed. Although I would recommend a factory cartridge, a good gunsmith can cut a better chamber to ensure accuracy with the bullet and load of your choice.
If you are handy with wood, you can build your own stock. Quite easy. If you build your own stock, you can put together a LR rig on a P14 action for under $600; under $1000 if you use a commerical action.
Scopes are another big area. Check the other posts for some suggestions of suitable scopes. Bushnell Elite scopes are excellent, as is the Tasco Super Sniper. Leupolds are a common product but very pricey. You are going to need 25 to 35 min of elevation from a 100yd zero to 1000yds with most flat shooters used on this board.
Once you get a better idea of what you want, post your questions. There is so much knowledge on this site that your questions will be very well answered. Check the other articles. Will probably answer any question you have now.