"How safe is flying a small plane. I couldn't find any statistics on that..."
Statistically, the accident rate is very low.
In 2005, there were 24,401,000 flight hours logged in GA aircraft with 1,669 accidents, 321 of them fatal. That translates to a 6.83% accident rate per 100,000 hours flown and a 1.31% fatality rate.
The problem with looking solely at those numbers to judge the "safety" of a light aircrft is that most GA accidents are usually caused by poor decision making by the pilot, not any mechanical issue with the aircraft itself.
The leading cause of general aviation accidents is continued flight into deteriorating weather by pilots not certified (or current) to do so. That is a choice that is made by the pilot, yet is reflects on GA accident stats as a whole. Light aircraft are no more unsafe just because pilots chose to do unsafe things with them!
If GA pilots would quit doing stupid thing with aircraft, then those rates would be even lower.