The 100+ year old concrete floor in our basement is both rough (chips,
bumps, cracks) and unlevel (some parts are at least several inches
higher than other areas).

Given the age of the floor, it seems that all these flaws originated
years ago and that there is not much active going on.

I would like to smooth the floor and make it somewhat (but not
necessarily perfectly) level.

What types of solutions should I consider and what type of trade
person or company should I call in to do the job?

My concern is that I would like to get advice from someone who has
experience with multiple different solutions so that I get the right
solution for my specific slab.

Thanks