You won't be taking what you need to remove the swirl marks to the car wash. That's a job that you will be doing in your garage. Add to that, the way you are washing your car is why you have swirl marks. So the FIRST thing that you need to learn is how to properly wash your car. Once you learn how to do that, you can then repair all of the damage that is in the paint. The process is not fast or cheap and there is work involved but once your paint has been fixed, you should NEVER have to repeat the entire process again.
Your learning curve starts
here. There's a thread at the top of this forum that contains the videos that strictly address the swirl removal process but like I said before, you need to STOP making swirls BEFORE you can think about removing them.