I am with the poster before me. At the very start of the video the lecturer mentions how long it would take the Voyager to reach the Centari system (nearest solar system) 70,000 years if it was pointed in that direction.
The great thing about space is that there is no friction, nothing to slow you down once you get going. So if we were able to build a ship large enough to fill with a sustainable population (no inbreeding-sorry Alabama) and enough food (or the ability to reprocess food/water) we could essentially push it off into space and it would keep going at that speed indefinitely. That is where some of the technology the video mentions comes into play. You don't have to maintain the rocket in space. in fact any additional force applied once you got moving is translated straight into acceleration- moving you faster. So a lot of the propulsion technology we are looking into is stuff that doesn't provide instantaneous 'ludicrous' or warp or other FasterThanLight speeds but a gradual building up to an incredible speed, which is almost indefinitely continuous. Again once you got up to the speed you wanted you could shut the engines down and save whatever 'fuel' you are using and ride momentum to your destination. So while we (this generation and the next couple) wont see another habitable planet we (as humans) will definitely. Hell one of the Scandinavian countries is supposedly looking for volunteers to go on a one way mission to mars. Basically that's what we could do to any destination. Just starting shooting into space until you hit something.
Again and I am loving this long rant all you need for a hospitable planet is really liquid water. Everything else we have the technology to produce what we need just off of that. We can use water to create electricity, we use water to grow crops-hydroponics, use the electricity to allow photosynthesis. Water is two parts Hydrogen (fuel) one part oxygen (what we need to breath). And we have two other entities in our solar system that have/had this. Mars has ice now, and we have reason to believe it had flowing water some point-easy enough to turn ice into water. And then one of the moons of Jupiter or Saturn we have pictures of water geysers shooting out of the top crust indicating liquid water under the frozen surface. I would explain how we know about flowing water on mars and out there on that moon but I figure you gave up reading this/ wouldnt understand if I were to explain.
I agree with the OP, this is exciting. And all of this coming from a deeply Christian person. God didn't make the universe for us to sit on one planet, lets get out there and see whats up.