You're going to get as many different suggestions as there are brands of ar. PERSONALLY I prefer Otis's kits as there is a near zero chance of scratching the bore. They are pricy though. A boresnake is good for field cleaning but not adequate for detail jobs (which should be done if possible). I keep a boresnake in my grip for shtf but for everyday cleaning I use the Otis. As far as lube and solvent I like safari land CLP. Where I'm at it can be bought at Walmart. Break free is another good brand. Q-tips for the receiver and bolt carrier and pipe cleaners for the gas tube are also a must.
Until you learn the ropes a regular Outers kit and a can of CLP from Walmart will do the trick. All of the things listed above have merit and are of great use. You need to do some shopping to learn what brands are reliable and efficient. You might not have to buy anything. Someone in your family might have everything you need.