No, it’s free

Hi, There are a few restaurants in the Village. The Three Village Inn is easy to walk in and use the bathroom. It's a hotel and pub/restaurant. There is a gas station that may have a restroom.

At least one to two hours

I don't think you could run with a stroller on any of the trails--just too bumpy: roots, rocks, stairs, and such. There are stretches on the road, and maybe near the pond, but nowhere close to a mile.

of course!

Yes. But please have them on a leash. There have been dog fights in the park.

There are 2 areas to visit at Avalon: the garden, which runs along the Stony Brook upper mill-pond and then climbs up steeply, eventually leading to the preserve (which is contiguous with the Nature Conservancy property). If you wish to visit the preserve, there are several crude parking areas along Shep Jones Lane, a main one near Harbor Rd, 2 smaller ones further south along Shep Jones, and then one on the Nature Conservancy/Avalon border. The main one is rather rough, and of course the northern end of Shep Jones itself is a rutted dirt road (part of its charm). To visit the garden, one parks on Harbour Rd, near the grist mill.