Just take it easy at first.. ride the traction like you do the stall in AH.
You can try putting R1 slicks to help out, although you'll get a better feeling by putting on the slippiest tires you can. That can get tedious if you don't have the patience though.
slickmod @ LFS forumPut the tire sounds to the max, that helps too.
A good setup for the particular track you're practicing is also best.
If you use a gamepad, it is less easy as you have to have a precise thumb and analog stick.. usually I'm forced to keep the steering lock around 15deg, 12 or 13 in the Formula cars. The only way to not spin out is to know your lines, but like in AH it becomes second nature with enough stick time.
You just have to get comfy.. pretend the car is your legs.