If you're looking to get a good detailed picture of the moon take your picture an hour or so before dusk. It will allow you to shoot at a higher F number which will give less blur at that distance.
I use a 70-300mm tamron lens for these shots. You also have the ability to drop the saturation/blues to make it nighttime if you want.
Shooting later may require longer shutter speeds which with telephoto lens' will cause motion blurs even if you're using a tripod due to the movement of the moon.
There is a great page here with maximum shutter speeds before you get light movement when shooting planets/stars;
That guide is to deliberately make star trails but just stay within those boundaries with your particular lens to make static images! :)
The above shot was taken by hand at about 6pm from my balcony. Adjustments made were; Sharpening, Saturation, Brightness/contrast tweaks and white balance.
Give it a go during daytime anyway! Enjoy!