kuligs2 Bias has nothing to do with dithering. Dithering is the least of your problems on those screenshots. Not sure why you're fixated on it. If you make the image look artistically visually pleasing, the minor technical artifacts like that will not bother anyone. You can increase the shadow map/atlas size and shadow filtering in the project settings, along with per-light blur settings.
In your case, too large bias is causing the noticeable "displacement" of the shadow. Cast shadows are one of the key elements that affect perception of 3D form and proper illusion of space. Shifts caused by bias that are most noticeable at the place of contact look particularly unpleasant.

Also, when you're showcasing an object on a background, it's customary to choose the values (aka luminance) of local colors (aka albedo) in a way that emphasizes the silhouette of the object against the background. So it's either a dark object on the light background or vice versa. This applies to the whole value range of the object. In the case of a light object on the dark background (as seems to be your case), every part of the object should be darker than the background, including cast self-shadows. This will result in a much more pleasant overall image, and more clarity in description of the shape/form of the presented object.
And last but not least, your speculars (on the wall) are too strong. Overburnt specular highlights resulting in a washed out appearance is a classic rookie mistake.