I take it you are looking for a better answer than dont hit it in the bunkers???
For compacted bunkers use a wedge with less bounce and chip it rather than splash it out. High bounce wedges just skid over the compacted sand and make you thin the ball. using a wedge like you would off the fairway is easier, just remember to compensate for less distance out the sand.
When playing to winter greens the basic rule of thumb is to get as close as you can first of all. Its usually better to use lower
clubs to chip to them letting the ball travel longer along the ground. The main problem with winter greens is that they are fairways and chips need to run slightly hotter to compensate for the longer grass.
As for the overshooting greens in the first place, get a planner and try your best to work out the distances from that.
D.