Share: Medical SupplyMedical, Dental & Nursing Care Best Care Pharmacy 820 E. Florida St. Deming, NM 88030 (575) 546-5750 Hours: Monday-Friday 9-6, Saturdays 9-2 About Map About BestCare Pharmacy wants to thank Deming for the warm welcome. The drive thru is now open and offering free home delivery. Located at 820 W. Florida in the Peppers parking lot. What's Nearby? Distance: 5 10 15 20 25 50 mi.