Don't take ANY furniture that's stuffed, ie; mattresses, chairs, etc. Toss'em or you'll just be taking the bugs with you.
Wash all your linens, sheets, towels, quilts, etc., in hot water and, if possible, bleach. Get your clothes professionally cleaned.
Vaccuum, vaccuum and vaccuum some more-bed, chairs, sofa, rugs. And, notify the landlord. Chances are they are in the building and made their way up to your place.
Fleas are narrow and their bite is not as disgusting looking as bedbugs and a fleabomb may not work on bedbugs-those critters hide deep into the mattress.
A friend of mine had bedbugs in her apartment; after contacting housing authorities and a lawyer, her landlord had to give her a new apartment, but she had to toss everything into the trash and start new.
Good luck.
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Don't blame me. I didn't vote for either of'em.
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