Mr. Wilmer: I personally use a Nikon D5100. I have always used Nikon cameras since I graduated as a child from using Kodak box cameras. I know that Canon makes some very nice equipment and I see lots of it around photographic gatherings but I am just partial to Nikon and they have always had a camera that did what I wanted it to do. You can probably get a similar answer from a Canon affection-ado.
I believe that any newer nikon lenses that have the AF-S designation will work with the D5100. It is my understanding that the D5100 camera body cannot focus the lense itself so it relies on autofocusing lenses (AF-S) to get this done. You may want to investigate this further though.
Well, yes and no. The lenses will fit and work, but completely manually seeing as the D5100 has no internal focus motor and require AF-S lenses. So if you don't mind losing autofocus, the answer is yes.