South of the French river is a pretty big area. HOW far South?
Nothing can replace the individual research you will need to do in order to be comfortable with the rules and have confidence if you ever need to explain to someone your applicable regs. That said, do it! Totally worth it, hunting is an amazing hobby, and don't let a little time digging into the various boring lists of rules stand in your way.
For example I just moved South of Hamilton in the last year. I found out that the majority of the hunting I will be doing in this vicinity will be with a crossbow (deer) and a 12 ga (turkey, upland, geese, ducks etc). My county is one of the ones where there is a caliber restriction of smaller than .275 for any cf hunting and there are no big game rifle seasons here anyways. Deer are either archery (3ish months a year) or shotgun/muzzleloader (1 week a year). Additionally there is no Sunday firearms discharge allowed in this county so any hunting on that day I do with a crossbow.
Find out your WMU and spend some time reading or at a Service Ontario that does outdoors card stuff or on the phone. Get all the details. Don't forget about county/municipal regulations. And then get outside and have a great time pursuing your chosen game and learning as much as you can about it.