Keep the furniture outdoors if at all possible, until you have checked it over for the pests.
Check the furniture all over for dark-red or black specks, which may be fecal stains from the bedbugs.
Turn on a flashlight and use it to check crevices in the furniture. Even if you are checking the furniture in daylight, a flashlight helps you better see the small creatures or their droppings.
Check beneath the furniture with the flashlight. Bed bugs often hide in small corners away from view. Even un-upholstered furniture may have bedbugs that have hitched a ride. Check all furniture -- not just upholstered furniture and beds.