I'd take a look at two different things...first, pick a good reel, if you take care of them properly they'll last for years and years. Check the on-line stores and read the reviews.
I've been a Shimano fan for years. I've had Diawa's, Shakespears, ABU Garcia, Quantums and others, and although most of them were decent reels, I've felt that that usability, durability, and design of the Shimanos fit my fishing style better.
I recently deviated by purchasing an Ardent flipping reel because it seemed innovative. Although I use it, I'm not happy with it. The quality isn't good. The flipping switch never worked, and the clutch doesn't engage every now and then properly. Most of the time when pitching or flipping, I don't need the flipping switch anyway, so when I use it the reel does an OK job for how I use it, so I just kept it, but I wouldn't buy another one. Although I like the flipping design for the most part, looking back in hindsight, I would have purchased another Shimano Castaic (always been good for me when flipping).
Buy a reel that suits what you want to do, and that will dicate the price. If you want to flip, the Castaic is good, but so is the Core. If you want to just cast and retrieve, and maybe do a little flipping, the Curado is a good reel. I own both and love them both.
As for the rod, again, find ones that suit what you want to do. If you just want one to start out, maybe think about the combos available by the on-line stores. The rod prices are reasonable especially when purchased as the combo. I've had good luck with rods purchased that way.
I'm not brand specific, but I have yet to own a baitcasting rod that I didn't like. I've owned a Diawa flipping telescoping rod, I currently use a Powell flipping/pitching rod, and love both of them. I've owned Shimano rods which were good too. I currently use St. Croix Avids, and all of theirs have worked well with me. I'm a fan of graphite, and all of them have worked well for me.
The "round" baitcasters are nice too especially when chucking huge heavy baits. I just bought a Shimano Takota for tossing big musky lures, and I love it. It was a toss up between that and the ABU Garcia 7000C, and after seeing them in person opted for the Takota. I would have loved to buy a Calcutta, but it was out of my budget at the time. But as a beginning baitcaster, I'd avoid the round ones for now. The low profile ones tend to have better magnets and such to help eliminate backlashes.
By the way, you will backlash, and don't be embarassed. It happens to everyone at the beginning, and even happens to experienced users including pros. You will learn how to prevent them and how to pick them out. The more you use them, the less it will happen. Eventually, you will love them.
Good luck in your choice Kevin. Again, read the reviews of those in the prices that you are interested in. If you start with a less expensive model, just make sure that it is designed to do what you're asking it to do.