Red, itchy mosquito bite-like bumps. What is it?

I would check again for bedbugs as 1 treatment may not disrupt the life cycle. The other thing could be fleas from the animals, check them thoroughly for fleas. Has your family changed laundry soap ? You may be allergic to the filling in your pillow. Did you check the pillow seams thoroughly for evidence of bed bugs and washed all your bedding? I doubt it's mosquitoes