Let's speed ahead to a future time when crossing the gulf of space in a human timescale is achievable, setting aside the fact I currently have no idea how such a technology would really work, where would future humans be heading off to, or to put it another way, where are the closest potentially habitable planets closest to us.
The closest exoplanet to Earth and one within a assumed habitable location from it's red dwarf star is Proxima B. 4.24 light years (268,142 AU) and almost certainly tidally locked to it's star, it may possibly have liquid water on it's surface, although there is large concern that being so close to a red dwarf will mean it's atmosphere may have long been blasted from it. There is some research that suggests that red dwarf star flares concentrate away from the planet disk, but at this point, I will opt for a large desolate planet with little or not atmosphere never mind water, but of course, there may be some mechanism unconsidered that changes this.
Either way, the Alpha Centauri system (including Proxima) is the closest to us, and will no doubt be the first we manage to reach, albeit with probes long before we ever develop such technologies to get people there.
Ross 128 is another red dwarf star just 11 light years from Earth. Unlike Proxima, Ross 128 is a quiet red dwarf star, meaning it's less likely to be throwing massive flares out, and as a result this planet is considered more likely to be habitable, and the closest to possibly have a atmosphere, although there's no way we can tell if the star was far more active in the past and may have already removed the atmosphere.
Like Proxima B, it's likely tidally locked, and that means the day side is always day, and the night side always night, even so, an atmosphere could distribute the heat around it, although I suspect the only places you'd probably want to hang out, are in the twilight areas between the two .
Gliese 1061 is just under 12 light years from Earth and another red dwarf star, however this star has two planets of interest, C & D, both considered super earth's. In my view these guys are going to more like super Venus', with intense carbon dioxide atmospheres.
Of the two, D is considered more similar to Earth in having similar solar input, while C a little more. The star is similar to Ross 128 being a quiet red dwarf, but the planets are probably both tidally locked, suffering the same eternal day/night situation as the other red dwarf exoplanets so far.
The Luyten star system is a red dwarf system also 12 light years from Earth, and while the planet is 2.7 times the mass of Earth (making it very much a super Earth) it receives only 6% more solar energy to Earth making it one of the most similar in terms of habitability to Earth.
What makes this planet interesting is the orbit, while it's proximity to the star (similar to the others) is likely to mean it's tidally locked, astronomers think it's eccentric orbit may allow for a resonance, similar to how moons of Jupiter behave. As a result, the planet would have a day/night cycle in relation to this.
All of these planets are around M class stars, although Proxima does have a G & K type binary pair it orbits, they are not the host star of the Proxima B. This isn't a surprise as most stars are M type stars, and there are (currently) no confirmed habitable planets around a G type star within 30 light years, although I will be surprised if JWST and future telescopes don't pick some up for sure, eg Epsilon Eridani or Tau Ceti could very much be interesting candidates.
