I got into fly fishing about 30 years ago. I'd spent most of my previous fishing life using spinning tackle. I'd worked my way down to fishing ultra-light gear. The next step was fly fishing. There are folks out there that have a fly rod and line for every situation. I've kept it simple. These days I have two 5 wgts, three 6 wgts and three 8 wgts. I use the same type of line, whether I'm fishing fresh water or salt water, cold water, cool water, warm water, or very warm water. Same reels get used for all the venues. I'd been building my own rods for years, so it was just the matter of going up to Dale Clemens' store and asking what was a good all-around fly rod blank. A 6 wgt was recommended. So I started off fishing for trout with a 8 1/2' six wgt. Later I built a 5 wgt for trout, and eventually for panfish.
Given where you fish and what you plan to fish for. I'd suggest an 8 or 8 1/2 foot 5 wgt. It will handle any trout you're going to catch. I've fished flies down to size 30 with mine for trout and I've caught bass up to 17 inches on it.
Rods can be slow, moderate or fast action. As a beginner I would recommend avoiding fast action rods.
If you can find a slow or moderate action rod go for it. They're more forgiving of the mistakes you'll make when learning to cast. All mine are slow to moderate action, which says something about my casting abilities.
All reels are is a tool that's used to hold line. A drag is nice, but not essential. Get a decent one within your budget. If you can get get a spare spool with it, even better. As you progress you may want to start using either and intermediate or a sinking line. That way you won't have to buy a new reel. All my fresh water reels are low/moderate end Orvis reels. The last two I brought ran me $120 each, with the spare spool. I'm sure they've gone up in price since then.
Start with a plain old WFF(weight forward floating line) ignore trout tapers, bass tapers, salt water tapers, or as I already mentioned, lines for specific temperatures.
As already mentioned look at the various combos out there. Cabela's, Bass Pro, Orvis, L.L Bean and I assume some of the rod companies offer them. The only one I have experience with is Cabela's I brought my nephew one when he was 12. He's turning 40 next month. He fishes but not fly fishing these days. I found the rod tucked in a corner of his old bedroom last year. I repossessed it, and rebuilt it in the style I like. That's why I own three 6 wgts.
Good luck with it. Next thing you'll want to start tying flies and that's a whole other rabbit hole.