I know that not all Hunter safety courses from out of province are recognized in Ontario. As for how the hunting is it will depend on where you are moving to and what you are hunting. Lots of private land in Southern Ontario so you'll be doing some door knocking if you move there.
I'll be in Ottawa area. I don't expect the best hunting but it's the job who's bringing me there. I have had very good hunting opportunities in SK and probably I'll miss it.
Forget about the Marlborough Forest.
Think Cobden minimum travel to hunt.
Petawawa National Forestry too congested.
Closer you get to Mattawa the better.
The Ontario Hunting Regulations summary document will have some info for you, with phone numbers to inquire about details, and website info.
You can download the PDF from here: https://www.ontario.ca/document/ontario-hunting-regulations-summary
Note on page 16 it states:
"Hunter Accreditation Requirements: You must have successfully completed Ontario’s Hunter Education Course or an Ontario-recognized equivalent requirement (e.g. existing accreditation on record or documentation from a recognized jurisdiction) to be eligible to purchase hunting licenses and hunt in Ontario."
As others have mentioned, your old province's / territory's license requirements may be recognized here to obtain your Ontario Outdoors Card. The above document will get you started in the process research.
Good luck, and welcome to Ontario!
When I came from Nova Scotia several years ago, they would not accept the NS hunting license or proof of having taken the course. Had to redo it. Perhaps it is different now.
Hardly any crown land South and east of Ottawa and what little is available has become more and more unusable lately. The Larose forest for example I figure is going to be a complete write-off pretty soon with the direction things have been going in lately. Deer are in pretty good numbers out here and it's turkeys galore everywhere you look. Grouse has been very scarce for a while now, hare seems to be making a bit of a comeback but personally I don't target either species out here simply of their low numbers. Just have to get permission from landowners. The further west and north you go the more land you'll find that isn't privately owned, so so deer populations and good bear numbers. Targeting moose around here is basically a waste of time, you have to go north quite a bit for that.
If you get your licence in order and want to come out for geese in the fall or coyote in the winter (coyote we generally only hunt weekdays though) give me a shout. Mostly hunt E and SE of Ottawa.