Astrophotography can be a real challenge. Good photos of the moon depend on several factors. The first of which is atmospheric conditions. (Above - Nikon D4s and 1000mm f/5.6 lens - 500mm f/4 with a non AF-S doubler - manual focus only - 1/1600 second - ISO 800)
ABOVE - 500mm f/11 - 1/50 second - ISO 320 The issue with shooting the moon as it rises is the atmosphere is thicker at an angle - therefore there is a greater chance of experiencing atmospheric distortion such as ripple from temperature rising in the distance.
To get my BIG MOON SHOT - I waited until around 10pm - 3 hours after the moon had risen - and I shot the image hand-held. I used a Komera doubler (all manual) with my Nikon 500mm f/4 lens.
The shoot above was taken in January 2016 - I just happened to see the moon rising over some clouds outside my studio's large sliding glass door... so I took the shot from the floor of my studio. I used the same camera and lens - without the doubler.
For most astrophotography - hand held photography is impossible because of the length of the exposure - but the moon is the second brightest object in the sky (next to the sun) - and it is easy to get amazing moon photos hand held - IF you are able to hold such heavy and large lenses steady.