The Gazelle Valley was a good place to go with kids in Jerusalem (we went in May, so the weather was nice: warm, and sunshine alternating with overcast).

The paths run parallel to the "natural core" of the reserve, in particular along the rehabilitated stream's path. The ponds along there were teeming with tadpoles and croaking frogs, which kept the kids occupied for a while.

The lush greenery and the trees make you forget you're in the heart of Jerusalem, and watching the deer is simply amazing. (They're shy, so sometimes you see several, and sometimes you just see one.)

The walking paths are flattened gravel and dirt paths, so they are wheelchair accessible, and also somewhat stroller accessible. Although I'd recommend using a stroller with larger wheels, to avoid getting stuck on irregularities in the paths. I managed with a Yoyo, but I'm a little stubborn and gentle with the stroller. There are also meandering paths that aren't meant for wheels, they are clearly marked.