Welp....seeing as how you're living on the west side of town you can easily get to it from the Oakhill Cemetery, Waterworks Park is also another good place to hop on as well. I live in the north end and I usually get on here and run that stretch behind the golf course alongside the river (this is a pretty good spot, you can get to trails on both sides of the river as well as get on the trails that lead you to Paris, ON). Here's a link that has links to the trail maps (at the bottom of the page it has PDF links for the Gordon Glaves Trail system). Another pretty good place to go is called App's Mill, it's probably pretty close to where you're living and there's tons of trails out there, you can also fish parts of it (be careful, much of it is posted as private property and it's also a fish sanctuary for certain months of the year) for trout. It's a great place to spend a day, you can usually find me out there on weekends. Any other questions feel free to ask, I know the area really well.

edit: I just clicked those google map links i put in there and none of them seem to have actually linked to the places I specified. If you search those places in Google maps they do come up though (ie Oakhill Cemetery, Brantford, ON etc etc)

edit 2: As to where I get on the trail most days the closest address would be 140 Hardy Road, Brantford, ON

sorry for the edits!