Remember, I am from Saskatchewan, and that is VERY different from Virginia. I will suggest "generalities" from which you have to pick what you think applies to you.
The number one rule is make sure there are coyotes where you are hunting them. Don't laugh; it is the most important factor for success.
You need a call. Mouth blown is fine, but requires more stealth. If the coyotes come to a sound you are making, you better be still, and cammo doesn't hurt (although it is far less important than being still.) If ranges are short, your scent plume will be an important issue. Scent "blocking" sprays, washes and clothing will not work. You must control how your scent travels, and make sure they can't circle down wind without being seen. Two guys, one to call and one to cover the approaches from another angle, work very well. The dogs are trying to identify the sound, and often pay less attention to other directions. The one advantage electronic calls give is to put the dog's attention where you aren't.
I don't find decoys worth the effort, but our coyotes are not hunted hard. I have seen decoys work, and they may be worth it to you, but we hunt by walking a lot, and I just don't want to carry one.
If I was to buy a pure coyote rifle at this point, it would be a .243. If hides are not important, any rifle from the .204 on up will work at short ranges. At less than 100 yards, the only factor you need consider is how much hide damage are you willing to tolerate. Start with whatever you have.
Use types of calls no one else is using on them. Get to your calling spot undetected. No talking. No slamming vehicle doors. No skylining or wandering through open spaces. Stick to edges. No talking. Watch the wind, and never allow your odor to move into the area to which you are calling. We call with mouth calls in bursts of about 30-45 seconds, and then wait for about 5 minutes. Repeat. If 20 minutes goes by without a coyote, we move. No talking.
During the "wait" times, really, really, really pay attention. Really. Hundreds (it must be by now) of times, I have suddenly realized a coyote was watching me, and probably had been for some time. Those ones are very hard to shoot. You need to see the coyote long before he knows you are there. Pay attention! No talking.
Learn to shoot. A coyote is actually a very small target.
Does that help or raise any questions?