Help! I have a flea problem. What can I do to get rid of them for good after many attempts have been made?

Since my cat died June 30th, I have had a flea issue (probably had an issue before but not at this magnitude) my home is @750 sq feet, so it's small. I used flea bomb stuff last week Wednesday with two cans (according to the can, one should work in my whole house, but I used two cans) I still had issues. Sunday morning I vacuumed the whole house again, used three flea bombs in my house, and during that time I was at the laundromat washing all of my bedding and pillows in hot water. Last night I found a few more fleas. This is irritating me to no end.

I do not have any other animals in the home to worry about, by the way.

What can I do? I don't want to have to evacuate my home two or three times a week just to use that flea bomb stuff. I'm following the instructions on the container, too, so I don't know what else I can do.

Help me please!