Sir Zelman Cowen Park -
Steve Le Big park with connections to a Baseball ground which is rare for Melbourne. Friendly area and major spaces for dogs to run around. Though tables would be nice for a picnic.
148 Burke Rd, Malvern East VIC 3145, AU
Google map: https://www.google.com/maps/place/?q=place_id:ChIJGxGnhfhp1moRUEAyBXZWBA8