We're in Chulilla at the moment staying in La Muela. It's well positioned - 50m to the main parking, 100m from the shops. There are three appartments, we're in no 3 on the top floor which is an appartment for two and has a great roof terrace with a view of sector Lamentaciones across the valley. I wouldn't like to be here if the other appartments were fully occupied as the building is noisy.
Lots of other options - there's La Rueda 400m out of town to the south which seems quite popular. Also El Altico up on the hill which is run by the guy that published the guidebook. Probably avoid any accomodation that's anywhere near the main square as it's very noisy, especially at the weekends when the whole town becomes rather animated.
We stayed at La Rueda last year (as mentioned by jon above) and it was pretty good. Nice restaurant next door, but it's only open certain days of the week. I'd say it's probably a 10min walk from Chuililla village square, rather than '400m' ;)
Some route recommendations in this thread from last year: