Weeping Cherry Tree
Can I keep my tree from getting too big\tall?
Unfortunately, probably not. The best way to control the branch growth (and still maintain the weeping shape) is to prune your tree, but that won't keep it from growing in height. Weeping Cherry Trees grow the best in full sun, so adding some type of light shade (if possible) can help slow it down some.
This article may help with pruning:
And this article may also help you: