You could have something that I had as a child called estrabism (dont know if this is the term in english, it is in spanish).
What it is, is that the muscles that hold each side of your eyeballs are not synchronized because one of them is a little too short or a bit too long (the muscle). So when you try and have your eyes point at the same spot it dont work exactly as it should and that is why your depth perception is not perfect.
There is a simple eye surgery that corrects it however it is not 100% cure...if you've had this since you were a child your brain already 'learned' to interpret what you saw in a certain way.
My experience after the surgery, when they removed the bandage from my eye was just oddly different my room was... it seemed a little bigger than it was before. A few weeks after the surgery I started to notice little things I was doing better.. like hitting the ball with more accuracy in soccer games, catching objects in mid-air (which to me was always luck based, i seemed to have the pencil flying in midair hit my finger and bounce off rather than the fingers catching the pencil), etc.
Have your optometrist check for this.