I’m not much of a designer, but I can say I like both. They each give off different vibes, though. The first (lighter) seems a little more approachable. Being lighter its friendlier and more inviting. The second is a little more trendy. Younger I would say - a little more edge; contemporary.
Given what I can glean from the content of the site, I think I personally would opt for the lighter look. With that texture, I would also suggest making it a little bigger (the image/cropping, not scale) or find a way to hide the knot in the grain which makes the repetition quite noticeable. There’s a vertical line next to it that’s a little unpleasant too.