CLEANING- For cleaning the bore, I use an original Boresnake. Since the introduction of the Boresnake, they've introduced a version called the "Viper". Avoid that version like the plague. The pulls string isn't attached well and will break off. Other items you should get are lintless rags, the M16 "toothbrush" and a stick for poking the rags into nooks & crannies. I've used everything from the classic Hoppe's #9 to non-chlorinated brake cleaner to mild solution of dish soap & hot water to clean my AR.
LUBRICATION- The best lubricant to use on your AR is lubricant. Light oils like RemOil, Birchwood Casey's Gun Oil and such work very well, but constantly need re-application. There are other oils that last longer. Pick your favorite poison and use that. Thick grease is good for lubing the ttrigger/hammer/disconnect but oil is better for the rest. I use Lucas gun oil (Not Lucas Extreme) because the Material Data Sheet shows it to be relatively benign. (Lucas Extreme has a couple of warnings.) Lots of folks use synthetic motor oil like Mobil 1, but for myself, Lucas is easier on my skin and less likely to stain my clothing. Apply a thin coat to the entire bolt carrier group and 2-4 drops in the carrier exhaust ports and the body of the bolt. Apply a very light coat of oil to the exterior metal parts, especially the barrel if it's Parkerized.
LIGHT- Get a light that has a switch to turn it on and turn it off. No dimmers, blinkers, strobes or other options. The switch should be easy to use and give you the option to turn it on full time, or momentarily. Too many options will slow down your OODA Loop (Observe, Orient, Decide, Act) because you can get stuck trying to decide what light mode to switch to.
I bought a light with dimmer options and strobe to use for work (aircraft techincian). It was a pain in the butt because it strobed when I wanted a steady beam and rarely used it different illumination levels. Keep It Simple Slick. On/Off, Full On/Momentary.
AMMO- XM193. What does that mean? 5.56 55 gr Full Metal Jacketed. Most common, economical, consistently delivers 2 - 2.5 MOA, reliable and stores well. Terminal performance isn't the best of the 5.56 ammo but it is deadly. Put a round in a badguy's center torso, you think he's gonna stand there and say "What, you shot me with a 55 grain FMJ?" (If he does, shoot him again.)
Take that bucket of Remington ammo and go shoot it up. I can tell you from first hand experience it isn't moisture resistant and doesn't store well. Freshly opened, it was reliable. However, if stored for awhile after being opened, it'll start giving misfires. Once, while out shooting, it started snowing and a light dusting got in the bucket. When I got home, I wiped each round dry and left the top off the bucket to air out for a few days. Next time I went shooting about a third of the ammo were duds.
If you can, get a case of Federal or American Eagle XM193.
SLING- The Easy Button is the Blue Force padded 2 point sling with QD (Quick Detach) hardware. For a right hand shooter, the most common attach points are the right side rear of the buttstock and left side forward on the handguard. There are variations, but this is a good place to start. You'll need to get help to initially adjust the sling to fit you & your AR and trim the excess lengths. You may also want to sew the webbing around the sling swivels.
RED DOT SIGHT- I'm gonna give you a fish. Get the Sig Romeo 5. It is the best value for the money for an RDS under $200. It comes with everything you need to mount to your AR and start shooting. Good optics and battery life is surprisingly long.
Get someone knowledgeable to help you figure out which eye is dominant. For some, it's easy. My right eye is strongly dominant and has been trained by years of use. It was very easy from the beginning to figure that out. For a friend of mine, it's not so easy. His left eye is dominant, but not strongly so and not trained. He struggles when he shoots.
A trick that will help you is to place a piece of frosted cellophane tape over the lens of your shooting glasses on the non-dominant eye. This should block it enough to prevent seeing two dots while shooting. It will also let you keep that eye open, reducing eye fatigue. Often, this will train your brain so the tape is no longer needed.
VERTICAL FOREGRIP- This is subjective. Some like'm. Some don't. I don't like'm. The angle feels unnatural. I have one on my M4A1 because that is my "what the Air Force is Using" AR. I don't use a "beer can" grip with the VFG. I cup the grip where it meets the handguard which is much more comfortable.
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MAGWELL GRIP- I won't tell you it's wrong. I will tell you that you have less control in recoil, when changing from one target to another or when shooting at a mover when gripping the magwell. However, I notice a lot of shooters (myself included) start going to a magwell grip when fatigue sets in.
I don't know what state you live in, but if you're anywhere near us, my wife and I would be more than willing to help you with your new AR.
Most important thing- Have fun!