I generally avoid killing/ removing spiders (they also prey on moths, keeping clothes etc hole-free), wasps too to an extent (but they are still largely a pest).
The Bedbugs were quite easily eradicated with insecticide around and under the bed, but that's last a resort as it is toxic to virtually everything (including pets and humans), something I don't doubt as the smell is more irritating than Ammonia. I'd much rather use natural remedies (especially when you don't have to do anything), than strong chemicals that we don't truly understand the effects on the environment or the food chain.