Supplies included or bring your own: the small line that decides the winner
Buying your own kit — mop and bucket, microfibre cloths, glass cleaner, floor solution, bathroom descaler — costs roughly AED 150–350 upfront and perhaps AED 40–80 a month in refills. If you clean weekly, own-supplies pays for itself within two to three months, and you control what touches your surfaces: the pH-neutral floor cleaner your marble needs, rather than whatever multi-surface liquid is in the company caddy.
The exception is deep cleans and specialist work. Steam machines, wet vacuums, rotary scrubbers and sofa-shampoo kit are exactly what the higher rate buys, and no sane household purchases them. For regular maintenance, supply your own; for anything involving machinery, let the price include it.