Bark Park Trail in Calabasas
The Calabasas "Bark Park" is located at 4232 Las Virgenes Road. To get there from the 101, take Las Virgenes Road south just under a mile. The entrance is on the left (east). If you're going fast, it is easy to miss it. It's a nice, local dog park open sunrise to 9pm with plenty of space for the doggies as well as a separate gated kids' play area and plenty of parking.
On the north side of the park is the trailhead to the Bark Park Trail, a 1.2 mile climb that links you up with the New Millenium Loop Trail. Round trip you're talking about a 2 1/2 mile hike.
It is a nicely maintained trail with a steady, uphill climb. I would call it a moderate climb for the most part. A good walk to take the kids on. But it can get a bit hot up here, so bring water and sunscreen on summer days.
As you can see from the sign, there's a lot more exploring you can do on these nicely maintained trails in Calabasas.
More on the Bark Park at www.cityofcalabasas.com/government/community-services-parks-recreation/parks-trails-and-facilities.