First of all, welcome to the addiction...er...uh...I mean the avocation and art of photography. Prepare to have your life taken over by this.
Okay, some thoughts:
1. As others pointed out, for landscape photography, you don't really need a special lens (and contrary to amateur belief, a longer focal value...like 200mm isn't going to be used that often for landscape). More likely a focal length of 35mm or 50mm. The three items (besides the camera and lens of course) you'll most likely use in landscape work are:
--circular polarizer (to deal with glare, add punch to your clouds)
--neutral density filter (when shooting sunsets or in bright light and you want a longer exposure...like blurring a waterfall).
--a tripod (no, not a cheap $50 POS but one that will allow you to do a 1-2 second exposure or shoot star trails).
2. For wildlife, as an earlier post noted, there's a big difference between shooting a ladybug (that's really more macro photography) or a moose or falcon. For bigger wildlife (that is "wild") you probably need to start with a lens that has a focal length of 200mm and it's even better if you can get something longer. Talk to any serious birder or someone who photographs critters like moose and they'll tell you that they're shooting with 300mm or 400mm. Also, just a word of warning--in an ideal world, you'd get a zoom of 200mm or more that was fast (i.e.: an aperture around f2.8). But that's going to be outside of your budget (for now). You want that lens b/c not all wildlife come out at noon on a sunny day. Some emerge at sunrise or sunset or come out to feed at the stream when the light is weak. And a 200mm zoom with an f5.6 isn't going to work if it's a mobile creature (like an eagle) unless it's in bright light.
I mention all this b/c you need to do more than just get a camera. So budget accordingly.
Okay, as to the camera...you photo has you hiking. Your interests imply you're a hiker. What that tells me then is that you want a camera that will work well for hiking. I'd seriously look at the Nikon D3XXX or D5XXX series. Both camera series (D3100, D3200, etc.) don't have autofocus motors in the body of the camera--they rely on the lens to have the autofocus motors (and most modern lens do). This means that these bodies are smaller and lighter than cameras of comparable technology. And to someone who does hiking seriously, that's a really important factor. Even if you don't mind the extra weight, it just means it will be easier to get it out of your backpack when you're on the trail and see a big horn ram up ahead.
As to differences....the D5XXX series has an articulated screen. I don't like it and would probably never use it. But I know 2 people with D5XXX series body who swear by that screen for macro photography (one is a car mechanic and loves being able to put his camera places where he can't get his head and still take pictures). If you are used to taking a lot of pictures with an iPhone or iPad then you'll love that articulated screen. But to me, it's something to get dirt and grit in to, something to snag on and break. The D3XXX and D5XXX series aren't perfect cameras. But they are good, have good ISO performance (so good in low light), work well for hikers or people who don't want to schlep around a ton of stuff.
While the D5300 is under $1,000 and the best of these two lines (in terms of performance and technology) I wouldn't get that if I were you. There are some pieces of equipment you will want to get to really do what you want to do. Here's what I'd recommend:
--D3200 or D5200 (bodies only)
--the fastest 200mm zoom you can afford. I've seen the Tamron 18-270 zoom listed for as little as $200. With a lens like that, you'd put it on your camera and never take it off. You'd shoot landscapes and birds of prey in flight. Otherwise, I'd look at two lens...a 200mm zoom (probably something like an f5.6 70-200mm) and a Nikon 35mm f1.8 prime (dirt cheap, light, very sharp, great low-light performance, good for landscape)
--circular polarizer filter
--neutral density or graduated neutral density filter
--at least two SD cards and probably 3
--camera cleaning gear
--as a hiker, if you don't want to schlep around a full tripod, then look at something like a monopod or a gorillapod...much more hiker-friendly.
You can probably do all of that for under $1,000.
