Match your hook size to the bait you intend to use rather than line strength/diameter. 20/18 for single maggot, 14 for corn etc.
Decide the line strength you require to handle the size and type of fish you expect, in the conditions and time of year you're catching them in.
So if the fish are generally 3-5lb carp and you're catching them in open water, the 0.13 (4lb 12oz) will be ideal, you might want to step up to 0.17 (6lb 12oz) or more for the same size fish in margins or for weedy areas. Equally, it would be better to scale down to 0.11 for winter fishing when carp don't fight so aggressively and bites are harder to get.
Line diameter is confusing unless you instantly know the diameter to strength ratio. I fish frequently and still had to look up how strong 0.13 Pestonn Reflow is! The only time diameter matters is when you have to pass the line twice through a hook's eye for a knotless knot.