Cockroach Problem, Pet Birds in house, what can we do?

We have had an outbreak of cockroaches in our house. Several species. We have bombed the house with anti roach bombs, 2 times. We have sprayed the house with Raid, as suggested. We have used borax and roach tablets. We even used that paste stuff that you squirt in places. We are very clean, dishes washed immediately, trash goes out daily, and we have gone down to only one trash can. What else can we do? We have two Chihuahuas in the house and 4 birds. The bird cages are cleaned almost daily. We have not seen any cockroaches around the bird cages. The birds and dogs are very sensitive, and we really can't spray around their cages. The little dogs can't take much of the pesticides either. The cockroaches are all over the house, and we have never had this problem before. The land lord says it's our problem, and they claim that it is because we live amongst pecan trees. The pest control company want an outrageous amount of money to do the same things we have already done. Does anyone have any other suggestions?