I would definitely watch the videos. I have yet to find one single hospital birth video that didn't repulse me. Yet there are so many amazing homebirth videos out there!!! One of the biggest differences to me? The fact that NONE of the hospital births show the mom in a body led position for birth. The closest I've found is a few still shots of one birth. ONE. *ONE*!
I would also do some more research. For example you mentioned tight nuchal cord as one of your concerns for homebirth. However, studies have shown that tight nuchal cords do not pose any significant risk to the baby. There is nothing to worry about with a tight nuchal cord itself, *BUT* the hospital is the last place you want to be in the case of a tight nuchal cord. Why? Because it is common for hospital providers to clamp and cut tight cords on the perineum thus cutting off baby's life support before he has the ability to breathe on his own. Such a practice is not evidence based and almost always necessitates resuscitation. And I don't even want to think about what would happen if you couldn't push the baby right out after the cut which is a real possibility considering 99.9999% that you will not be in a body led position for birth.