I'd prefer the day off, since I usually travel on my birthday (my birthday and wedding anniversary are 3 days apart, so it's a reason to take a big trip), so i

I'd prefer the day off, since I usually travel on my birthday (my birthday and wedding anniversary are 3 days apart, so it's a reason to take a big trip), so it would effectively give me an extra vacation day. Just give them the day off and have cake when they come back.