There are several hotels near the center. A new Marriott just went up a few blocks away, Hilton connects to the center via walkway, and several others within a half mile in the old market.
Stay at the new Marriott! Love my room and the service
Barely a mile north of CenturyLink Center are several hotels that are much more affordable than the downtown locations. Also, check out Council Bluffs Iowa which is only 10 minutes away.
I would say yes maybe around 5 miles, but planty of good hotels
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