If you had a suitable form of transport, which of these 33 stars would you visit? Red dwarfs are probably not very interesting places to visit. Sirius or Procyon (which I'd not heard of before) sound the most interesting:
This brilliant white star is the brightest star in the night sky and the most luminous star within 25 light years. Its white dwarf companion was first seen in 1852, the first white dwarf ever seen. The orbital period is 50 years.
A brilliant yellow-white star, and the eighth brightest star in the sky. With twice the diameter of the Sun, Procyon is also the largest star within 25 light years. Procyon is orbited by a white dwarf companion first seen optically in 1896. The orbital period is 41 years.
Sirius A,B - Type=A1+DA, Magnitudes=-1.4+8.4, Distance=8.60 ly
This brilliant white star is the brightest star in the night sky and the most luminous star within 25 light years. Its white dwarf companion was first seen in 1852, the first white dwarf ever seen. The orbital period is 50 years.
Procyon A,B - Type=F5+DA, Magnitudes=0.4+10.7, Distance=11.41 ly
A brilliant yellow-white star, and the eighth brightest star in the sky. With twice the diameter of the Sun, Procyon is also the largest star within 25 light years. Procyon is orbited by a white dwarf companion first seen optically in 1896. The orbital period is 41 years.