Install kitchen sink drain in old bedroom

[Poor husband tortured]

Old bedroom on slab floor. This room is next to a full bathroom. Wife wants to turn this bedroom into a kitchen. The original kitchen is upstairs and not sitting over this bedroom. What I figure is I need a plumber to come out and find if there is a drainpipe anywhere under this slab. Also wondering if they can hook one up to the bathroom which is the next room. Closest wall is the shower. Basically a plumber has to decide is there is a drain pipe anywhere usable. I have no idea on cost of finding this out. Also cost if possible to attach to the bathroom if thats the best way to go. I already know its a big job since its on a slab. Any ideas? Wife is set on this old bedroom turning into her new kitchen. Electrical and vents not so much a problem. Its the drain line for the water from the sink that has to go somewhere. Hot and cold can come from the shower through the wall. help???

 

[Reach4]

Consider running most of the new drain pipes underground outdoors. Where does the sewer run? Running around the house to the front, and joining in the front lawn is not out of the question.

This is not to say that what you have in mind is not doable easier. But digging outside could minimize busting up slab.