I started the game with the DFGT. Recently I tried tuning a car and driving with the DS3 for the first time...that was an experience in itself.
Based on my experience with the game my advice is this:
You have to separate out the driving effects of you and the wheel, from the car you are driving. Take out a 600PP Lambo with a poor tune and it's going to be loose on some tracks and the back end will want to kick out under heavy braking. Take out a GT-R and it'll push like crazy cornering with a poor tune. This is the car, not the wheel or you, but I've noticed a lot of guys have trouble distinguishing between the two. If you are assuming it's you, it'll just frustrate you and you won't learn anything about the wheel.
So my advice would be to hook up with a tuner like Praiano, or any of the major tuning garages, all of whom are pretty helpful and friendly, and tell them you want a lower powered tuned car, say in the 400-450 PP range, on Sports Tires for now (Comforts a bit later) so it's forgiving but not stuck to the road like glue, Front Engine/Rear Drive, and has very neutral handling. This is the key, neutral handling and Front Engine rear drive.
Take this one car, or couple of cars and drive them with your wheel on Tsukuba, Deep Forest or Trial Mountain, and maybe Nurb GP/D. This will give you a mix of tight hairpins, sweepers, grades, corner camber and speed. Take the car out with it's fully tuned gearbox, and just run laps on those tracks to start with. Run 20, 30, 40 laps to really imprint the feel of this car onto your brain, because you will learn from this car what every other FR car should feel like.
Why do this? Because once you know what a neutral car feels like with limited grip, you will know what a car is supposed to feel like and when you run across any other FR car and find the back end kicking out under braking or under hard corner exit, or on a cambered corner, you'll know it's not you it's the car. Much of the time you can feather the throttle or brakes to drive around the imperfections in a tune, or adjust the tune to take car of the problem, but it's so important to separate the effects of a poorly tuned car from your driving that I would not recommend any other way of learning how to drive.
A car like the Nissan Silvia or RX8 at 450PP is a great place to start if it's well tuned. I'd start on Sports Softs and then switch to Sport Hards and Comfort Softs if it's going well. A good Sport tire tune will be adaptable to that.