Keeping in mind the habits and instincts of Bed Bug
Search in the following priority:
Natural raw and unfinished wooden elements (wooden planks on which boxspring may rest)
Fabric and leather elements (mattress, boxsprings and headboards)
And rigid and sturdy elements (plastic corners of box springs)
Soft and fluffy things like pillows and blankets (if you have them on those you would not need an inspection rather extermination service)
If you have found bed bugs in all of the above, then you may as well continue to the night tables and other pieces of furniture with 2 to 3 feet of the bed.
It’s a good idea to arrange for a good vacuum with a round brush to suck away bed bugs as you find them.