I do not get what is the big deal with parallel parking. Give me ten minutes and I can teach anybody. It's simply doing it by the numbers.
1. Pull up parallel to the car in front of your space and have your wheels stright.
2. Start backing slowly, when your read wheel is even with the back bumper of the front car, cut your steering wheel one complete turn to the right.
3. Looking out your right side mirror, when you see the far right side of the back rear car next to the curb, straighten the wheel one full turn back to the left.
4. Continue to drift back looking out your left side mirror. When your read wheel is just before the plane of the left side of the space cut your wheel two times to the left.
It's a lot easier to teach in an empty lot using cones and when I stand out side the car and talk you in the first couple of times. But it is a method that is very repeatable. I use it to teach new drivers to parallel park buses. I walk along outside at the drivers window. If they move faster than I walk, I tell them to slow down.
Doug