Bedford Park was established in the 19th century. To the west lies Foster Hill Road which is on the line of an ancient path that is possibly Roman or older in date, heading north from the ford across the river, (where the town bridge now sits). If you follow the line of that road, along a foorpath heading north, it reaches Brickhill Drive not far from the location where a Roman Villa once stood.
The park itself is large, containing a swimming pool, a cafe, two children's play areas, tennis courts, a communal herb garden near the cache site, and an adult exercise area. Immediately to the north is Foster Hill Road cemetery, which is part nature reserve, and is also a lovely place to stroll around. It too dates to the 19th century and is no longer used for modern burials (except where plots are already owned.)
Dogs are allowed in Bedford Park, but must be on a lead in the cemetery.
The tarmacked path around the park is 1.1 miles in total and is very popular with runners, especially on Saturday mornings. Why not combine some exercise with a little geocaching?
Park Avenue on the south side has short term parking, which is all you'll need for this park and grab cache, but the park is well worth a wander around.
Deer do visit this park, so ticks (and Lyme disease) can be a hazard.
You are looking for a small black container. Some stealth may be required, especially if the ice-cream van is parked in the entrance.