Bill, concrete grinding is a technical science. To get a really high quality job requires expertise at three separate stages. Firstly at the concrete mix stage, secondly at the concrete pour stage, and thirdly at the concrete grind stage.
Let me give you an example. Normal slab concrete is about 20 MPa strength. Concrete to be fully ground is normally specified at 32 MPa. The extra strength prevents the aggregate (the "stones") from dislodging from the concrete during the grinding. And that's just one requirement of many to get a top job.
Also people talk about "concrete grinding" but there are many types of concrete grinding. Typically most concrete grinding is just a half grind to expose the aggregate and then a clear coat is used over that. This is the most common "concrete grinding" because it requires less grinding and is therefore much cheaper. However this approach is not optimum because all clear coats (even expensive two-pack polyurethanes) eventually scuff when you walk on them and break down when subjected to UV so they require expensive periodic maintenance.
The best finish is a full grind so that you get the high gloss "granite" look without a clear top coat. It's very hard and resistant to wear. But it is more expensive. Typically with a full grind a sealer is still used to close the pores in the concrete.
There's a LOT of tricks to concrete grinding and it is best done by professionals if a high quality surface is required. I saw a concrete grind job recently where the workers had walked into the concrete slab by accident just after the pour. This pushed all the aggregate down into the mix. The concreters simply trowelled the footprints smooth but the aggregate was gone from the mix surface. It all looked good until it was ground and then you could clearly see the footprints where there was no aggregate. It then looked totally ridiculous.
As I said, there's a lot of tricks in concrete grinding. I don't profess to know a huge amount about it, but I know enough to know that a little bit of knowledge can be dangerous.