Breaking concrete basement floor, then pouring new concrete

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Hey all. I'm new to BP and just bought my first primary residence in Philadelphia which I plan to convert into a rental in a few years.

The basement is unfinished and has decent height (~7 feet). However, the floor is rough and there is one corner where it slopes upwards about 4 inches above the rest of the floor and the raise starts about 2 feet away from the corner. It would obviously take a ton of concrete to level the basement for that corner. There are sections by the staircase where you can see the wooden remnants of what I assume was an older stair case and theres a 1 inch gap between the concrete and those pieces of wood. 

Ideally I'd like to break apart the whole basement flooring to reach the level of those pieces of wood, then pour concrete across the whole thing to essentially make a new floor. I've read that in Philly there is a lot of regulation around digging in basements. 

Since this would only be breaking the floor an inch or so down (to reach the wood from the old staircase) I was wondering if this would be a project that would need the basement digging permit/architect/engineer? Also does anyone have experience in breaking and recreating their basement floors?