Judith,
There are several hotels in the valley that will work for you. I cant think of any names right off the bat but I would plan on staying on 90th south and around I15. this area is close to the mountains and is easy access to several resorts. www.saltlakecity.com will help you and also there is a comfortsuites that is down in that area that has a good rate. I hope this helps.
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