o... nonono... I've read from somewhere online that bedbugs can survive up to 2 years without blood... and from my experience, I believe this is true. I caught these bugs from a bamboo sheet that hasn't been used for at least 2 years.
The thing is that they can't reproduce without blood. And they would want to drink blood, so my solution is to keep my DE close and I should be fine.
That sucks... maybe you should try applying DE everywhere in the apartment just like I did. Just watch your baby carefully (so he doesn't pick up stuff from the floor with DE and put them in his mouth).