Selecting your zombie-apocalypes wardrobe will be heavily influenced by both the region in which you are fleeing and the current season there.
And here's the challenge: you will not be able to carry alternate seasonal options. You'll need to find a way to accessorize and supplement what you'll be wearing.
And you'll be wearing just one outfit. You might be able to carry one change of underware and one extra pair of socks, but you probably won't be able to manage much more. If you're going to need a heavy coat you'll need to wear it, then abandon it when it gets hot.
Here's my suggestion on how to be comfortable in a wide range of weather conditions AND still not be burdened with lots of heavy clothes that you carry, but do not wear most of the time: layers.
Yes, that old advice works. Here's how to structure your multi-season wardrobe:
Oh, and gloves. You'll need those too. Keep your hands warm and it'll be easier to keep the rest of you warm.
Just don't be stupid about hats. You'll need two: one that offers sun and weather protection-something with a big brim, and a second one, a knit cap you can pull down over your ears. Don't worry about "hat hair."