Filtering GeoJSON data to include in Leaflet map

I am trying to filter through my geojson polygons and get all data entries with a specific attribute.

I have a layer of polygons describing parks around the city parks.json. I want the user to click on a button and see parks that have picnic areas. I have GeoJson data in the following format:

{"type":"Feature", "geometry":{ "type":"Polygon", "coordinates":[[[long1, lat1],[long2, lat2],[long3, lat3]]]}, "properties": { "Playground": Yes, "Picnic":Yes, "ParkName":"Barr Lake", "ParkStatus":"Open"}

How do I retrieve all of the polygons where "Picnic" = "Yes" and map them?

I tried this with no luck:

var picnic_parks = $("parks.json").filter(' "picnic":"Yes" ').addTo(map);