Top Moving Companies in Roswell, NM Rankings you can trust Movers can't buy their way into our rankings. The results you see are comprehensive and reliable. Learn more about the Great Guys Moving Rating Index. A 1 American Moving & Storage Very Good Services Storage International Packing Local Long Distance Hourly Commercial Get Quotes View profile Who are the top 1 movers in Roswell, NM? American Moving & Storage is the #1 moving company in Roswell, NM with a very good rating.To see the full list of the top 10 movers in Roswell, NM CLICK HERE. How do I see all of the moving companies for Roswell, NM? You can see the top 10 ranking moving companies in Roswell, NM by Clicking Here. If you'd like to see the full list of all of the moving companies in our rating index for Roswell, NM (which might include movers we wouldn't recommend), click here. How do I get quotes from some of the best Roswell, NM movers? To get an immediate quote, Click HERE or text “MOVE” to (800) 787-5428.