Kim Kardashian and Lewis Hamilton are fully in their cozy couple era … so comfortable, they’re out here doing the most domestic thing possible — rug shopping.

Check the pics … the duo kept it low-key in L.A. Tuesday, dressed down while browsing luxury rugs … just days after popping up together at Coachella.

Kim, of course, had her signature curves on full display in gray leggings and a cropped hoodie … while Lewis matched the vibe, keeping it effortlessly cool — and TBH, they look very good together.

These two have been locked in since making things official at Super Bowl LX … and they’ve barely left each other’s side since, bouncing between Arizona, the UK, Colorado, and now back to Cali.