01 - Combine ground beef with salt, pepper, smoked paprika, garlic powder, and onion powder in a large bowl. Mix gently until just incorporated, being careful not to overwork the meat.
02 - Divide the seasoned beef into 12 equal portions and shape into small patties, making them slightly wider than the buns to account for shrinkage during cooking.
03 - Heat grill or large skillet over medium-high heat until properly preheated.
04 - Grill or pan-fry patties for 2 to 3 minutes per side until well-browned and cooked through to an internal temperature of 160°F.
05 - During the final minute of cooking, brush each patty with barbecue sauce and top with a half-slice of cheddar. Cover briefly to melt the cheese.
06 - Toss coleslaw mix with mayonnaise and apple cider vinegar in a small bowl. Season with salt and pepper to taste.
07 - Split the brioche buns and brush the cut sides with melted butter. Toast until golden brown.
08 - Place each cooked patty on a bottom bun, then layer with coleslaw, sliced red onion, pickles, and fresh chives. Top with the bun and serve immediately.