The Samson guide is an excellent helpful tool.
The question about diameter of the line for a "Boom Topping Lift" is dependent on the size of the sheaves used for your rigging.
Here is a good link to help you understand the uses of the boom topping lift.
Topping Lift — Rigging Doctor
Understanding the use helps to identify the type of line you might select. For years "Double braid polyester" line has been used on boats. It is affordably priced. It has low stretch properties. Comes in varying sizes. Is easy on the hands when used. I find it a good choice for my topping lift rigging.
You can certainly spend more for "no stretch - high tech" lines or spend less for stretchy 3 strand twisted nylon line.
Length is dependent on the right angle hypotenuse formed by your Mast and boom plus the height of your topping lift the block to the deck and any extra you might need to tie it off or run the line to your cockpit. Get enough. Short is always frustrating. Extra line can be used to say replace the fender lines.