I have this tree in my backyard and I am not sure if it's any "special" to keep. I need to area for kid. Can you tell what tree is it?
The distinctive peeling, cinnamon colored bark, and the glossy leaves/buds led me to the Pacific Madrone tree (Arbesus mendiesii). It looks very much like your photos. It is a native American evergreen tree from the Pacific northwest. It is very limited in its range. This tree has very distinct flowers and berries as well, so they might help you make a positive identification. If this is your tree, it is a desirable tree, and you may want to consider keeping it. Here are some links that may be helpful.