Well, it's really up to you.
Benefit of having the feed in the coop is you won't have to worry as much about moisture damage, or mold in the feed from rain or other weather. They'll have access before you let them out in the morning.
Down sides: rodents may get in the coop looking for food. they might poop in it a lot if it ends up under the roost or if they're able to sit on the edge of it. They'll likely dig it out of what ever container you have it in, and have it scattered over the floor. With close quarters, if the water's near by it could easily get wet and mold.
Benefit to having the water in the coop is that you won't have to worry about them having water first thing before you let them out.
Downsides: Bedding gets kicked into it, if you have the store bought red screw bottom auto waterer, you'll need to empty the trough through the day so they have water, or you could raise it off the floor and risk them tipping it over and completely emptying on the floor. If you have a large open container, once it gets below half full they'll likely tip it over and dump it over the floor.
Humidity and possible frost bite in the winter.
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Outside:
Feed pros: They'll actually eat through the day, when they're outside. (Mine free range and refuse to go inside to eat.)
I haven't had the feed outside much myself, so there may be more pros.
Feed cons: Wildlife of all kinds will eat it, and possibly spread disease to your flock. So far I've found this to include rodents, birds, and raccoons.
Moisture, which I suppose could be avoided with the right kind of feeder. Any feed that's scratched or dug out on to the ground could cause a problem though. I ended up just running out and grabbing it if it started raining.
It needs to be locked up at night, which means either moving it inside, or having a feeder that is lockable. (If you have cats be warned they will use feed as a litter box)
Water: I actually prefer it outside. It's not possible during the winter for me.
Pros: Keeps the coop cleaner and dry. It doesn't get full of bedding. In good weather when they don't want to go back inside at all, they still have access to water.
Cons: Sunlight can cause algae to grow inside the waterer, which can make your flock sick/kill them if it isn't cleaned out regularly, they don't have access before being let out in the morning, in bad weather they might not go out. It'll freeze faster in the winter.