I would like to recommend a snapper rer (rear engine rider) . They come in sizes from 28 inch to 33 inch deck(or at least they used to). I would make sure it has an electric start. Also craigslist is full of lightly used snapper RER's for under $1000. There are many other choices, ZTR's(zero turn mowers) are a choice but much more expensive. I realize they are out of your price range, but they are much more flexible and manerverable in a back yard than a traditional rider.