Sometimes what you can get is just as important.
I reality, your bbl twist will determine the length (weight) range your rig is intended to use. A 1:7 tends to run the longer (heavier) bullets, while those 1:12 twists are intended for the lightweight (short) varmint rounds.
The small difference between 223 and 556 ammo is that the 556 is loaded to a slightly higher pressure.
You should run a few different brands and types to see what your rig likes. If your bbl is a 1:9 or 1:7 twist, your practical bullet weight range will be in that 62, 69, 75, 77 range. Some rigs will handle the 55 grain loads just fine at 1:7 and some won't. You will just have to try those too.
It is good to try a little 55 grain M193 ammo since it can be common and inexpensive.
There are several sticky notes at the top of the sections that have good basic information too. You should read all those too.
Welcome to the affliction... Safe shooting.