Am I correct in assuming that there is always a total eclipse visible if you’re in space at the right point? The Moon would probably be closer to you and more likely to cover the Sun’s area. The only exception would be if the Earth was between the Moon and the Sun - yielding a possible lunar eclipse.
Only if you’re traveling towards the Moon. If you’re traveling away from the Moon, you’ll quickly reach a point where you won’t be getting any eclipses, just transits.
Stand on the Moon and you’ll get a total eclipse once a month. But then you could just stand on the Earth and get a similar effect more frequently.
Even if you live forever, this will remain a universal truth! 
I have a pack of eclipse glasses ready for the total eclipse on April 8 next year. My purpose in buying them is that on that date, I plan to wave them around under overcast skies as proof that there is no God and Satan rules all.
I thought of you when I read the front page of Wikipedia. There’s an eclipse item in the « Did you know? » section today:
- … that scientists traveled thousands of miles to observe the solar eclipse of September 10, 1923, from Santa Catalina Island, but saw only clouds?
I replied to this in the thread for the upcoming total solar eclipse on April 8, where I thought the revived thread would be more a more appropriate place to continue discussions on all things related to it. Cross-link is at the bottom of your post above.
It’s surprising nobody in the media mentioned this on the 100-year anniversary a couple of months ago, since eclipses have been in the American news so much these past few years what with three “Great Eclipses” crossing much of the country within seven years.
They probably didn’t want to bring people down.