what is a good mop to buy?

I recommend these steam cleaning mops. Using a steam mop on slate is a quick way to achieve clean, dry floors. Steam mops do not use chemicals, which is an advantage if you suffer from allergies and saves you from the cost of expensive cleaning solutions. Because the mop uses steam to clean the floor, water usage is considerably less than the traditional method of mopping, and the floors dry quickly and without streaking. Steam mops are easy to use and safe for any flooring finish.

Designed for use on wood, granite, laminate, marble, and other hard, sealed surfaces, this sleek steamer quickly and effectively sanitizes floors to gleaming perfection. The compact unit's ingenious steaming technology requires no harsh chemicals, instead harnessing the power of pure steam to loosen and remove even the toughest dirt and grime.
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Ideal for the chemically sensitive or those with small children, the Bissell Steam Mop deep-cleans hard-surface floors using the power of pure water alone. No harsh (or expensive) cleaners means no fumes or residues to irritate lungs or muddy delicate finishes, while the use of hot steam rather than buckets of water leaves floors dry in just seconds. Heated and ready to use in 30 seconds, the remarkably quiet mechanism works something like an iron: steam is dispensed on demand, rather than continuously, by pressing the trigger while passing the mop over the floor.
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I recommend this lightweight, electric steam mop for steam-cleaning hard-floor surfaces
Ready in 30 seconds; releases steam with push-forward motion of mopping
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