First, I have to say that I like the artwork. It’s very clean.
I guess what did you do here. You used the “Trace Bitmap” tool of inkscape, using the “border detection” option. It generates a traced path of the darkest border of your bitmap. But it generates too many nodes, and unnecessary subpaths, most of the time. Avoid that as possible.
If you want to still have your artwork in vector format, trace it by hand, and subdivide in layers. A layer for the head, a sub layer for the left eye, other sub layer for the mouth, etc. Then, other layer for the trunk, other for the left arm, etc.
Then, in Inkscape 0.91 there is an extension that prepare the drawing for synfig,… because synfig doesn’t allow subpaths, so it make some … “strange” magic in order to convert all the subpaths in one, which sometimes creates horrible results.
As Genete said, trace your bitmap in Synfig. In my case I don’t use this option very much. Synfig doesn’t have as many options as it have Inkscape to align paths, snap to other paths. But it have the option of linking shapes, improve outlines, etc… anyway… it’s a long story to tell, maybe in another post.But in your case it could work
Import your image as png, or as a set of PNGs, in order to animate with the deform skeleton layer or similar, or using the new cut out tool. The problem I see with this options is that if you want to scale your image, or for example, change one color, it may not look good (pixelated,etc)