Mystery Tree

On the same note as my last post, we have a mystery tree in our yard. We don't know what kind it is and what to do with it. I think we need to trim it up, but I don't want to accidentally kill it. If anyone knows what kind of tree this is and what to do with it, please let me know! We don't have very green thumbs here- at least not yet.

Here's a close-up of the budding branches.