I think one of the important things with re-hydrating is making sure you don't just gulp down a load of fluid straight after running, and then consider yourself fully hydrated and not have anything further for a while.
The body can only re-hydrate at a certain rate, so a lot of this fluid will just go straight through to your bladder. It's better to always keep some drink handy, and take regular, frequent sips over a period of time.
You'll notice from your wee whether you're still dehydrated or not (it should be pale in colour).
I sometimes feel very cold and headachey, and often need a nap in the afternoon after a really long run, but I find I am better, and feel less fatigued, if I re-fuel as soon as I can after the run, and then have something else to eat at regular intervals (say every two hours) afterwards.