Put on latex or rubber gloves. Vacuum out the suitcase with the crevice attachment on a vacuum cleaner. Target the cracks and crevices where the bedbugs hide.
Remove the vacuum cleaner bag and place it in a plastic bag, immediately after vacuuming. Dispose of the plastic bag in an outside garbage can.
Seal each piece of luggage separately in a plastic bag. Set the luggage outside in the heat, in direct sunlight, or inside a vehicle, with all the windows rolled up. Leave the luggage there for at least one day.
Seal each piece of luggage separately in a plastic bag and place the luggage in a freezer, with the temperature below 32 degrees, at least. Leave the luggage there for several days or longer to kill the bed bugs.