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People in Finland freeze their sheets and mattresses in the winter and it seems to do the trick. I'm not sure if this helps you now unless you have a huge freezer.
While continuing reading I found that the thing I spotted in my home black and therefore not real bed bugs so I'm not certain anymore that it's bed bugs.
In any case it's a sign that I need to clean more ;)
When winter is coming I will probably move my sheets and mattresses outside to freeze.