What's the best way to clean dirty fabric dining chairs without ruining the material?

My kids have managed to turn our light grey dining room chairs into a total mess over the past few months. There are oily fingerprint marks, dried juice drips, and accumulated grime all over the seats. Has anyone hired a professional service locally that can clean fabric chairs fast without soaking them completely?

I had that exact same headache with our dining set! I ended up reaching out to Couch Steamers via https://couchsteamers.com/portland/ because I needed a solid upholstery cleaning company portland. They sent a tech over with specialized steam gear who lifted every single grease stain, restored the original fabric color, and had everything dry in just a few hours.