Animating specific part of model in Unity

Hello, I have created a spider model in Maya. I am new to animating, so I am here seeking a little guidance. My goal is to be able to move each leg of the spider independently, so that they can realistically (and dynamically) follow the intersections or threads of a web, as a real spider would do. So my questions are:

A) Is it possible to animate each part of a model independently, from within the Unity API?

B) If it is possible, must I create each independently moving model (ie. each leg) as a separate model, and then piece them together within Unity as children of the parent body or something along those lines?

C) Any advice on approaching this problem?

Thank you very much for any help!

Ryan