2003 Toyota Camry How to find a shop to fix the brakes?

I received a message from the dealer's service department that my car's rotors (front and rear) are rusted and only 10% left on my front and rear pads.
I have read on Internet that only original manufacturer or reputable maker's break parts can be used to repair Toyotar's breaks. The price tag from the dealer is exactly double of what the famous car shop offers. I would go with Meineke (that's the shop) but they told me that they will use their ceramic brakes. I love my Toyota and breaks are very important in my situation (I have children). Is Meineke with its parts reputable and I can trust them? And how much (at least ballpark) does it cost to fix those rusted rotors? Thanks ahead