Going out in the sun

R.
This might be a dumb question but I'm a worrier so I'm going to ask anyway. The weather has been unusually nice so my husband and I are taking my 6 month old to a local state park to go walk the trails. I'll probably wear him in a carrier instead of pushing him in the stroller. Here's my question: I'll put him in something long sleeved, pants, socks and a hat to keep the sun off of his skin. What about his hands? I'm a red head so I sunburn really easily and I'm worried about his little hands being exposed to the sun for so long. Am I being crazy for worrying about it? Or does anyone have a suggestion on what I should do? Thanks in advance!