We think that the best nursery glider for small spaces is the Storkcraft Hoop Glider and Ottoman. It has some of the smallest dimensions of any glider we featured, when factoring out the ottoman, and has built-in features that allow you to save space, including a storage pocket on both sides of the arm cushions.
While this glider comes with the ottoman upon purchase, you could opt to leave it out if your nursery doesn't have the space or use it in another area of your home.