Now "selective availability" has been turned off (the code the US government used to mix with the GPS signal to introduce a position error for us non military types), accuracy is down to sub 10m level 99% of the time. They also have the ability to selectively turn off satellites, so for example they can stop GPS working over Israel while it still works perfectly well over the US....You'll probably find this sort of thing happening around major gaterings of heads of state.
One thing...don't trust a "moving map" GPS database to keep you clear of CAS, use the raw position to map your position on a chart. Sometimes errors creep in to the map database.
Mind you, I'd like to see someone navigate with 300m accuracy using only VOR and NDB's
Cheers
EA