Don’t spend your money! You do not need to go anywhere special to see the harvest moon at night.
The harvest moon is merely the full moon which is closest to the equinox in the autumn. The fall equinox comes around September 22, every year. So which ever full moon is closest either before or after that date will be the harvest moon. You will be able to see that moon anywhere on Earth except maybe near the poles. The next harvest moon will be September 24th, 2018. Look up that night. As long as there are no clouds, you’ll see it. It’s big.
You are correct. The moon is synchronized with Earth, although not perfectly. There is a wobble which I’ll show you below.
The “face on the moon” means that some people see what looks like a face on the side of the moon we can see. It’s not on the far side, but the side we see.
Here is a picture of the moon with the “face” outlined that people call the “face on the moon.” It is not meant to be comical (though it looks funny), but outlines the moon features people imagine look like a face.
More below the picture.
Now, here’s a comparison of the near and far side of the moon taken by a satellite we placed in orbit around the moon. On the left is the familiar side of the moon we see facing Earth. On the right is the side we never see from Earth because it faces away from us. This shows the moon is tidally locked with Earth so that one side always faces us. More below.
And finally, here’s an animation that shows that the moon isn’t perfectly synchronized with Earth, as you put it (scientifically it’s called “tidally locked”), but wobbles quite a bit from full moon to full moon. Due to this wobble, sometimes you can get a peak of what’s on the far side. You’ll also notice the moon gets larger and smaller in the animation. This variation happens because the moons orbit is slightly elliptical around us, so sometimes it’s a little closer and looks bigger, and sometimes a little further and looks smaller. A full moon when the moon is closest is called a supermoon.
In my opinion, hopefully neither place because there is no valuable reason for humans other than our robots to establish a presence in either place. Robots are expendable and you don’t have to bring them back. They can transmit what they find. Both are dead planets. Both have no reason to settle there.
Mercury, Venus, Mars, Jupiter, Saturn, Uranus and Neptune could all fit in the gap between the Earth and our Moon with about 4,990 miles to spare
Think of Earth as a basketball and the moon like a tennis ball. How far would you have to place them apart to approximate the distance between the Earth and Moon? Five feet? Ten feet? Twenty feet? Nope! Further even then that! A tennis ball would then have to be about 24 feet from the basketball to be of the proper scale. Farther than most people visualize.
This is how it looks (See image). Kind of surprising. The moon looks bigger to us than that, doesn’t it? Well, no it doesn’t. Our minds eye just makes it look bigger. Hold your thumb out at arms length. The tip of your thumb at that distance more than covers the moon. Still, the moon is the biggest thing in the night sky, and it really stands out much brighter and bigger than all the stars, relatively.
Surprisingly, people really do think the Moon is closer to the Earth than it is. You can see from the photo taking a “mere trip to the Moon” is no easy task!
Here’s a statistic for you! Think how big Jupiter, Saturn, Uranus and Neptune, the gas giants, are in relationship to our tiny Earth.
Yet our Moon is so far from Earth that Mercury, Venus, Mars, Jupiter, Saturn, Uranus and Neptune could all fit in the gap with about 4,990 miles to spare (using the average Earth-moon distance of 238,555 miles).