From what I read, the Singularity has to do with all manner of technologies, including AI, Robotics, and Nanotechnology, (edit: And Genetics) which focuses upon explosive growth of intelligence.
There are all manner of scenarios in which this may come about, and in most of them, the peripheral benefits will likely include technologies which will make cybernetic prostheses a pretty trivial thing.
However, all of that aside (and random thoughts by Eliezer from 2002), I am pretty confident that within the next 20 years, technologies such as Dr. Ted Berger's Neural Prosthesis, and the various current batch of cybernetic limbs (Google some, they are plentiful given the wars we are fighting) will give me some form of leg that will allow me to function either as I do now, or better.
This technology may or may not be central to the Singularity (depending upon whose version of it you wish to quote), yet it is technology that will be a consequence of the trip there.
An uplifting message as we enter the new year, quoted from Edge.org:
A few thoughts: when considering the heavy skepticism that the singularity hypothesis receives, it is important to remember that there is a much weaker hypothesis, highlighted here by Tegmark, that still has extremely counter-intuitive implications about our place in spacetime; one might call it the bottleneck hypothesis - the hypothesis that 21st century humanity occupies a pivotal place in the evolution of the universe, simply because we may well be a part of the small space/time window during which it is decided whether earth-originating life will colonize the universe or not.
The bottleneck hypothesis is weaker than the singularity hypothesis - we can be at the bottleneck even if smarter-than-human AI is impossible or extremely impractical, but if smarter-than-human AI is possible and reasonably practical, then we are surely at the bottleneck of the universe. The bottleneck hypothesis is based upon less controversial science than the singularity hypothesis, and is robust to different assumptions about what is feasible in an engineering sense (AI/no AI, ems/no ems, nuclear rockets/generation ships/cryonics advances, etc) so might be accepted by a larger number of people.
Related is Hanson's "Dream Time" idea.