13 hrs ago The metro area's second Costco will open Thursday, July 22, 2021 at 2651 S. Telephone Road in Moore. After lengthy efforts to bring the membership warehouse club to Norman, the company ultimately chose Moore The metro areaâs second Costco will open today at 2651 S. Telephone Road in Moore. After lengthy efforts to bring the membership warehouse club to Norman, the company ultimately chose Moore. Jeff Elkins The Transcript Cleveland County residentsâ newest option for bulk groceries, electronics and prescriptions opens Thursday morning in Moore. The grand opening of the metro areaâs second Costco, stationed at 2651 S. Telephone Road in Moore, kicks off at 8 a.m. today. The big-box retailer carries around 4,000 items, including its private label Kirkland Signature.