Lining the beams is a good option if you want to get a warmer look. You can do it with natural wood sheets and then apply a varnish on the finish you prefer. The dark tones highlight the presence of the beams, although in your case, having a fairly high ceiling, it would not overwhelm the room. Natural or white tones are typical of Swedish or Norwegian inspired environments, in which white and natural woods merge. Another option is to paint them without covering them with wood, directly on the concrete, although this option provides a less careful finish. The tone you choose depends on the decorative style you want to create in the living room. Regarding the false ceiling that you want to place -of drywall-, we recommend that you do so only if the space between the beam and the ceiling is deep.