Just north of Brantford is a woods that’s administered by the Grand River Conservation Authority. Very quiet piece of country side to walk through.
Through town run a number of bike trails. A few of them running on disused 19th and early 20th century rail lines past old industrial areas that are now either large open lots or crumbling factories. One trail in particular follows an old canal built before rail roads where common and is now home to carp and refuse. Still on a hot day you canl find much that will catch your eye.