When driving never put any of your fingers or your hand anywhere else than on the outside of the wheel, on the rim. If you are expecting the wheel to bounce or turn hard in one direction move your thumbs from around the back of the rim, place them along the rim twards the top so they are not locked through it. People have broken thier thumbs before, the DFGT isn't strong enough to do it, but this is good to do anyway as it builds the habbit for driving in real life. I have heard of the G25 breaking someones thumb before though.
Also, try not to steer out to much, the wheel is going to want to go in the direction of the slide, let it go untill the wheels are facing the center of where you want to go, so if you are sliding through the apex of a turn the wheels should point to the apex and no farther. never let the car completely castor steer itself.
When exiting a drift, you want to wind the wheel out against it's own castor steer, meaning you want to start winding the wheel out as the car comes out of the drift, if you wait to long the car will swing into an uncontrollable slide in the other direction.
There are a number of advanced driving techniques that you should also practice and learn, such as the J-turn. These are very useful in learning the dynamics of a car and learning to control it effectively.
The first thing I did when I started playing LFS was go to the carpark and familiarize myself with doing all of those advanced driving techniques in LFS.