Closest Park
The closest Park with play equipment would be Cathedral Square, which is on mutual south of Dundas, north of Shuter.
And
Grange Park, just west of McCaul, south of Dundas, north of Queen.
Other relatively close parks would be:
Cawthra Square: Church, just north Wellesley.
Crombie Park, Eslpanade @ Jarvis, east side.
There's also School Playgrounds after hours:
Orde St. Elementary (behind Princess Marg. Hospital)
Ogden Elementary, tucked in just east of Spadina, just north of Queen. (on the side streets)
Carlton St. Public, Church St. just north of Carlton.
Can't speak to the quality of equipment in each, but I know they all have playgrounds.