In all honesty, it shouldn't be too expensive. You can purchase a new axle at a local parts store for around $100.00. Labor, for one axle, calls for 0.9 hours. So it isn't even an hour labor.
As far as dealership, they will be the most expensive. It is actually something you could do at home.
Here are directions in general that shows how it is done:
I attached a pic below that shows labor time. Again, if you take it to a dealership, they are likely to install an OEM part which could be well over $400.00. If you take it to a local shop (and I don't know where you are or the labor rates there) the entire job should be around $250.00.
Let me know if you have other questions or need help.
Tuesday, July 21st, 2020 AT 2:25 PM