Oregon Ridge Park (Recycled from October 2018)
Trailhead Parking – Oregon Ridge Nature Center, Off Shawan Road
Trailhead Coordinates 39.49382, -76.68989
Approximate Time from BMPA – approximately 30 minutes
Meeting Time – 9:30 AM
Distance – 4.0 miles (Loop)
 
The All Trails link will provide more information on location, directions, description, and pet friendliness.  It will also provide an elevation profile.
 
https://www.alltrails.com/trail/us/maryland/oregon.ridge.park.trail
https://www.baltimorecountymd.gov/Agencies/recreation/countyparks/mostpopular/oregonridgelodge/index.html

The Nature center is well worth a few minutes.  There are lots of other trails in this park if you want to extend the hike.