I get these 'anomalies', what is the easiest/best way to get rid of it, to clean this up so to speak?
HI Martijn,
Try Fill and Smooth. Maybe also use Inflate a bit. Or try the Clay Brush, together with Smooth.
Sometimes these bits can be really stubborn and come back, as soon as you try to Smooth. In that case, you can also go into Edit Mode and Delete the obnoxious Vertex/Vertices and then just Fill the hole and switch back to Sculpt Mode. This is, if you use Dynamic Topology. This method won't work if you use Multires Sculpting.
Are you sculpting or mesh modeling? If you're sculpting. like they said sometimes you might have to go into edit mode. Sometimes, if a face gets too thin, odd behavior can happen. If you're mesh modeling, you can also double check for extra verts as well as interior edges and faces that might have been accidentally created and shouldn't be there. Can't tell you how many times I was filling holes and accidentally grabbed a vert from the wrong side only to notice odd behavior in the mesh that I missed when filling the hole :D