Pizza baking is all about thermodynamics. The more heat you can get to the bottom of the crust, the better the oven spring, the puffier/crispier/tastier the final product.
There are a great number of home cooks that are perfectly happy with home style pizzas. These pizzas take on quite a few variations, including pre-cooking the shell, using a thin stone, a cookie sheet, a pan with holes, parchment paper, broiling, grilling and pan frying, just to name a few. As much as these techniques produce good pizzas, none of these will produce a pizzeria style pie. There's a pretty good reason why Americans eat about a billion slices of pizzeria pizza every year. Pizzeria pizza, for the most part, tastes phenomenal.
With pizzeria pizzas, thermal mass is key. You're talking about 3 inches of baking stone underneath the pizza, on the ceiling and all four walls. Compared to 3 inches, a cheap 1/4" stone is meaningless. For that matter, so are 1/4" unglazed quarry tiles. Recreating that much thermal mass in a home oven is close to impossible, but you can definitely create enough mass to duplicate pizzeria style pies.
If your goal is a good home style pizza, then the suggestions here are excellent, but if a pizzeria style is what you're attempting to achieve, I can help. This is something I've spent about 20 years learning to do. It's not that expensive, but it does take some time and effort.