FLEA INFESTATION

. We got gifted a kitten that had apparently been flead before from an very old distant friend who had breeded them and we never have ever had a pet before this , i ended up being allergic to the kitten fur and after it putting me in hospital because I couldn't breathe it caused me to have an asthma attack. So after we got rid of it I was being bit a hell of a lot around my legs and ankles , my mother and then everyone else has been bit too and we was very confused and we actually saw a god dam flea LAND ON MY MOTHER and then pinged away. So my mother instantly got flea bombs and spray and a dust thing you sprinkle everywhere. That hasn't worked so she has rang the fumigators and they've said we need to catch a flea to send it in as a sample to get the fumigators out , how is this god damn possible ?!  We don't want to be in our house. I have a baby sister who is being ate alive and I have 40+ bites on my legs alone ! My mothers also suffering. they said we have to provide a sample and then it could take up to two weeks for them to fumigate. what are we supposed to do? We fear going home everyday as were being bit ALL the time, we've tried all sorts, any advice ?