How do I fix a cracked/unlevel concrete floor w/o repouring all?

I have an old 1960's garage that I placed a sliding door where garage door used to be and I've changed it to a home based Pet Grooming Salon. Previously, I threw down matts or used used carpet bc cement was stained w oil and cracked/unlevel. I would like to UPGRADE the flooring but have to fix the concrete first. I don't want to replace the concrete totally bc of $. Is there a way to clean the floor then pour 2 to 4 inches of concrete on top of old? en i could stain and polish the new floor. What product should i use to fix and level the old concrete. The stain and polish I can find. Can you just mix up new Quickcrete and place on top of old?

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