There are lots of people in the comments here talking about how long it would take to send a probe, or how many generations a generation ship would have, but it seems clear to me that that's not how humans are going to go to other solar systems.
Once we solve mind uploading (assuming that it's possible), we can send a blob of grey goo on a solar sail at a very high acceleration to another solar system. It can shed half of the sail and bounce the laser back to decelerate.
The grey goo would go and convert part of asteroid or something to computronium, and then we'd upload a bunch of humans over to the other solar system.
If we can simulate wetware perfectly, we would also be able to solve any health condition.
This is all presumptive of the preferences of individual humans. It may be that the giant extrasolar Earth-type planets could be dismantled and rebuilt into smaller Earths located at various Lagrange points.
You're assuming that we'll have a means to send data across Galaxy faster than the speed of light. If not then it'll take 111 years to upload your mind.
Once we solve mind uploading (assuming that it's possible), we can send a blob of grey goo on a solar sail at a very high acceleration to another solar system. It can shed half of the sail and bounce the laser back to decelerate.
The grey goo would go and convert part of asteroid or something to computronium, and then we'd upload a bunch of humans over to the other solar system.