How do I take a hand drawn black ink drawing and edit it in certain ways (specified in the details) after I scan and vectorize it?

I make black ink line art and scan it and in doing so the scanner picks up small jaggedness/pixelation which is still picked up but slightly improved after vectorizing it with Inkscape's trace to bitmap (potrace) as you can see the before and after (left to right)

The thing I really want to know at this point is how to smoothen the edges (slight bumps/uneven-ness), sharpen certain corners/edges and the ends of tapered lines

I'm not wanting to use bezier or do it all digitally. Just hand drawn, scanned, vectorized, and edited to look smooth, crisp, and just plain awesome.

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