Similarly stylish, albeit with a very different vibe, is nearby Southern Proper, opening its doors tomorrow on the ground floor of the Girard, a South End luxury apartment building. Chef-owner Jason Cheek, who grew up in North Carolina and comes from a long line of tobacco farmers, says he based his restaurant’s look on a “tobacco barn my grandmother would have decorated.” Light pinewood stretches up to vaulted ceilings, and the airy space — illuminated by big walls filled with windows — is adorned with antiques, such as tin reclaimed from an old movie theater that is used to wrap the bar front.