I have ants and cockroaches coming out of all the drains in the house and no where else. What can I do to stop this from happening?

Nothing should be crawling out of drains IF your drains are properly designed with 'traps' under them, a macaroni-shaped bend that holds water and keeps sewer gases and pests from coming up the pipes.
You could also possibly have bug nests in your roof vents. Someone will have to go up on the roof with a hose. But the traps under your sinks and tubs are supposed to be between the vent and the drain.