You can't drown them, btw.
You do need to do the whole house at once, and then repeat it in 5-6 weeks when the new eggs hatch, and maybe another 6 weeks after that. You need to use allergen type products for your mattresses, all rugs and drapes etc... might put something in your closet for the clothes... and bathe the cats with anti flea soap ALL ON THE SAME DAY... or you won't get ahead of them.
Such a hassle...hope the kitty had fun outside