NJ, welcome to the Citrus Growers forum, we are glad you have joined with us. It is quit easy to tell the difference between a lemon and a lime tree just by looking at the leaves. Here is Dr. Manners web site, a member of this forum. On his web site you will see a link titled "Citrus Identification", click on the link to match the leaf from your tree with the leaves on Dr. Manners list. Without a picture of the "lanky" tree it is impossible to tell if, or how much the tree should be pruned, or if it should be pruned at all. I would definitely move it into the full sun, but because it has been growing in the shade, move the tree into full sun slowly, to avoid sun burning the leaves. Lastly, as to whether you should transplant your trees into a better draining soil, it all depends on how compact/compressed and slow draining the current growth medium is. Also, take into account the size of the container, the size of the tree, and how long the trees have been planted in the container. Slip the trees from the containers and see if the root system is root bound, and therefore requires transplanting. Generally, a containerized tree requires transplanting, or the roots pruned, once a year. - Millet