Just moved to the area and found Trailside Dry cleaning on Yelp. They were very friendly, had quick turn around, and items look great.
Trailside Dry Cleaning
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Trailside Dry Cleaning in Herriman, UT has been providing top-notch dry cleaning services since 1984, catering to a range of needs from formal wear to household items. Their experienced personnel and state-of-the-art equipment ensure high-quality service at a reasonable price.
Specializing in wedding dress preservation, Trailside Dry Cleaning offers a special cleaning and storage technique to keep your gown looking pristine for years to come. With over 40 years of experience, this 3rd generation family-owned business is trusted by prominent dress shops for their distinguished care of wedding gowns and formal attire.
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Reviews

Pricing is competitive and clothes were cleaned fine, but I dropped off a pair of dress pants today (Friday), and was told they couldn't have them ready until *Tuesday* (four days later) after...
They fixed a hym from another shop, and did an excellent job! Their work is exactly what you would want, great to find a location I will come back to!

Very friendly and professional. I have had two suits cleaned and one altered. Great job, the only down side is their turn around time I wish it just a tad faster!