Shouldn't a Kitchen be sealed off from cockroaches? Would a new Kitchen eliminate the problem?
Rebuilding the kitchen will not stop them. Various insecticides will kill them for now.  Borax is safe and effective long term  . When I built my house in roach country ( E. TX) I put several pounds of borax in the walls before dry wall was put up. Worked great. After 25 years roach free years , apparently a couple recently got in and found the dishwasher cabinet was ideal ( no borax nearby). I was seeing a big roach about every other day , after none for years. I drilled a 1/2 hole under a counter top and blew in borax powder around the dishwasher. In the last month there have been only a few little roaches and they are slow and easy to kill because the borax slows them down before they die. So you can have an exterminator every few months or figure how to get borax powder where they are living. ( My wife has not noticed the hole so I am good). ADDENDA : On the otherhand ,if you are going to redo the kitchen anyway, put borax under, behind, and everywhere else around new fixtures, that may fix the roaches .