I noticed nobody else has yet answered your question about Hawking Radiation. What others have said about the creation of the accretion disk and polar blackhole jets is basically all true, so I won't bother explaining that over again. It's a fairly well-known and understood process, and not mysterious at all, as some people have said.
Hawking Radiation is based on two variables, temperature and the mass of the blackhole. The bigger the blackhole is the lower it's temperature is, and the smaller it is, the higher it's temperature is. This is the equation for Hawking radiation (http://is.gd/9ElEHl):
T = ((h bar) c^3)/(8 pi k G M) |
M | mass
T | temperature
(h bar) | reduced Planck constant (~~ 1.054572×10^-34 J s)
c | speed of light in vacuum (~~ 2.998×10^8 m/s)
k | Boltzmann constant (~~ 1.38065×10^-23 J/K)
G | Newtonian gravitational constant (~~ 6.67×10^-11 m^3/(kg s^2))
The equation looks daunting, but it's actually pretty simple, there's only two variables in there, the T and the M, everything else is a constant. For example, the temperature of a black hole that weighs the same as the Sun would be 6.171×10^-8 K, or just a tiny fraction above absolute zero. Whereas a blackhole that weighs the same as an average person (72 kg) would have a temperature of 1.704×10^21 K! So as you can see the smaller it is, the hotter it is.
Now, there's something interesting about its temperature relationship: large blackholes cannot evaporate via Hawking Radiation because their temperature is below the Cosmic Background Temperature of 2.725K (http://is.gd/tZ9jGd). So really big blackholes will always be feeding on the latent left-over energy of the universe's Big Bang itself. As the universe expands, this background temperature goes down, and eventually at some point it will reach temperature ranges of these black holes, and at that point the black holes will begin to evaporate by Hawking Radiation. Right now, a black hole that is exactly balanced with this Cosmic Temperature, neither feeding on the radiation nor adding more radiation to it, would have a mass about 60% of that of Earth's Moon. We don't know of any black holes that are smaller than about 3 solar masses, quite a bit bigger than 60% Lunar masses; so as far as we know, no actual blackhole in this universe are emitting Hawking Radiation, as they would be too big to emit it.