My linoleum kitchen floor I sweep as often as I can and then every other week - or so - I get down on my hands and knees and do a thorough cleaning. I use a gentle but effective non-toxic cleaner, Ecover Clean Scrub (I also use it on tub and sinks) or if it seems really dirty, I use Orange Scrub, also non-toxic.
Most regular cleaners are really, really bad for your lungs. I like the idea of the vinegar clean that was mentioned in this thread. Economical and non-toxic.
When I clean the floor I use three towels and two buckets. I also have have a scrubbrush and sponge for the floor which I “rinse” off with a towel that I keep wringing the towel in an empty bucket just for the dirty water. Then I have a clean bucket of hot water and I re-rinse with a big old bath towel just for the re-rinse, discarding the water in the dirty water busket as I go. and then I have another big old bath towel I use to “dry” the floor. Then I put the three towels along with the cat’s sleeping carpet thru the laundry.
I had a swiffer wet jet once and I thought it was great fun at first. Easy to use and the floor looked great. But then I noticed that my floor got dirty a whole lot faster. The Swiffer Wet Jet solution leaves a slightly sticky residue - just sticky enough to collect dirt faster.
So you think that when the Swiffer company tested their own product, that they push on those expensive TV commercials and print advertisements, they realized that their cleaning fluid gets your floors dirty way faster so you have to hurry out and buy more Swiffer cleaner?? Hmm.
So I gave mine away curbside. I suppose it would be good if you just used water in it, if you could refill the specially designed bottle with water, that is.