Will we ever get off this rock? We have two options for interstellar travel, fast or slow. Going fast will require technology we can barely comprehend yet, but even travelling at 99% the speed of light would only make 1% of our galaxy traversable within a human lifetime. Also, there's the issue of collisions. Interstellar space is mostly empty, but hitting a speck of dust at even 10% of c would destroy any spacecraft.
The second option is a slow 'generation ship'. This is the most likely option (barring some unforseen breakthrough in engineering or physics) but it presents the problem of designing a ship that can maintain a large, genetically viable population for thousands of years with no access to resources and no outside help.
If you wish to discuss this, please leave out speculation on some as yet unknown way to get past the light barrier. Lets assume our understanding of physics is correct and the best we can ever hope for is 99% of c. Better yet, lets be realistic and say the best we can possibly achieve within the forseeable future would be some type of nuclear propulsion like the British Orion Project that could at best reach 1-10% of c.