I am trying to understand the difference in the RG8 (suffix) coaxes.
RG8 (with various suffixes) used to be "Military Specification" (MILSPEC) cable, meaning that it met the requirements listed in purchase documents listed by the military. RG8, basically, is 50 ohm cable, with an outside diameter of 0.405 inches. Beyond that, consult the manufacturer of the particular piece of coax.
The exception is RG8X, sometimes called "Mini-X" and other things. It also has a characteristic impedance of 50 ohms, but its OD is closer to 0.25 inch.
How does solid vs stranded compare?
Stranded center conductor coax is more flexible. Remember to compare "flexibility" among cables of the same OD.
What about foam?
Foam dielectric generally is quite flexible, but because the dielectric isn't solid, it can't take rough handling, or being stepped on or driven on. Many types of foam-dielectric coax will be completely ruined by that.
What about 213 & 214 & 9913?
RG-213 is excellent general purpose coax for HF through at least 2 meters. It is currently a MILSPEC cable (see above). RG-214 is essentially the same stuff, but it's got a double shield and is therefore a little "thicker" in terms of OD. It's pretty much overkill.
9913 has had some problems in the past with water intrusion. I haven't used any of it since the very early days, and I never used it outdoors. What it's like today, I couldn't say.
Is RG-8X not as good? Is 8U better? I ran across this:
"RG8u Coax Cable with a much lower loss than RG58"
RG-8X is smaller than RG-8. Neither is MILSPEC.
Generally, for a given frequency and a given length of coax, a larger OD cable will have lower loss.