Here is a picture of the United States superimposed on our moon. This shows that if I fly from San Diego to New York, I pretty much fly the distance of the diameter of the moon.
But it helps looking at the real size and distance. This image is to scale. Click to enlarge.
Here is what it would look like if Jupiter were as far away from us as our moon:
The picture above is lifted from the YouTube below – for credit.
Finally, you could stack all the other planets between the Earth and the Moon, and still have room to spare: