You can see this with binoculars (at present in Taurus but moving fast!). This is through a telescope. The stars are trailed as I have stacked the 70 images used here to show the comet. If the stars were stacked to show the stars as points of light the comet would be a smudge!! You could just about fit the Full Moon within the width of this picture.
My first attempt at this comet (and my first "real" atempt at any comet!). A stack of 70 x 1min subs. Stacked in DSS aligned on the comet and then finished in PS. ED120APO with reducer/flattener. Unmodded Canon 1100D ISO 800. Guided on background stars with ST80/QHY5 and PHD: