Washing machine connections are one hot and one cold, each with a common garden hose thread. I dont know of any premade product, at least not one at reasonable cost.
I would make up 2 manifolds, each consisting of 1) one male garden hose to ¾ male NPT, 2) one ¾ coupler, 3) two ¾ x ¾ x ½ reducing tees, 4) ¾ x ½ reducing el, and finally 5) 3 short sections of ¾ threaded pipe to connect the coupler, 2 tees, and reducing el, in that order. Choose the length of these sections to match the spacing of the tees and el to the spacing you wish at the sing. That would result in a manifold with 3 half-inch threaded holes, into which you could connect faucets. Get a roll of ½ inch Teflon tape and wrap each threaded end prior to assembly. Connect the manifolds to the washer supply with standard washing machine hoses, which have two garden hose ends.
The best photo quality temp regulators are found at the photo stores. I dont suggest used, as they will probably need rebuilding. One of the best Ive used is by Hass Mfg. A step down in performance, but still acceptable, is a common shower control valve with the anti-scald feature. (I think most, if not all, now have this feature).
Home Depot or Lowes should have every fitting you could ever need, to connect any faucet or valve you could imagine. Grab one of those orange bibs at Home Depot and drag them over to the plumbing section, and have them assemble the parts in front of you so youll know you have everything when you checkout. Then just tighten when you get home.