If you are suspicious of bedbugs, you have to take all the bedding off the bed and look carefully in any seams and welts of the mattress and box spring where they hide. If you find any bugs or dots of blood, just move. They can hide other places but there's only so much you can check.

Bedbugs come out while you sleep because they are attracted by the the carbon dioxide you breathe out. The smell of the sprays works by making them them hide out, so they do work somewhat. Spraying rubbing alcohol will work and does no harm. Bedbugs are resistant to the usual active ingredient in home pesticides so they just hide out but are not killed if you set off bug bombs or spray stuff like Raid. You wouldn't be able to use a pesticide and then sleep there right away, anyway.

If your suitcase might be carrying bedbugs home, wrap it in a big plastic garbage bag and sit it in the sun all day before you being it in the house. The heat buildup inside will kill them. Off course, this only works on a sunny hot day. Carefully and slowly running a hot blow dryer over your suitcase supposedly will work, but I would just throw out the suitcase myself. The heat of the dryer will work on your clothes.