The dump should have the bins, they are inside the gates near the household hazardous waste gate. Otherwise there are many others in the valley. I know there is one at Gene Fullmer Rec center by the West Jordan Rodeo grounds.
Liquor stores have bins for glass recycling. The one off 300 W and 1700 S for sure does. Fairview Skate park in sugarhouse use to have a large dumpster for glass drop-off as well.
Google rocky mountain recycling and give them a call and see if they take glass.
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