We suggest:

Size .014/.015" for necklaces
Size .018/.019" for bracelets
Size .019/.024" for eyeglass leashes

Stringing beads on cable wire, thread or cord is not difficult, but it does require a thorough understanding of the pros and cons of the various parts and stringing materials that you will use.

The bead stringer has several goals to achieve: You want your piece to
a. Look good and be appealing
b. Last, not break and be durable
c. Move well as it is worn
d. Feel good and drape good as it is worn
e. Withstand all the forces and pressures that result, when your jewelry moves, as it is worn
f. Fit the context within which it is worn

Cable wires come in different qualities, usually indicated by the price per foot of the product.    It is difficult to compare cable wires across brands.    The critical information to know about cable wire strength is called "Tensile" strength.    To determine the tensile strength of a cable wire requires knowing what the wires are made of, what the nylon sheathing is made of, and how thick the nylon sheathing is.    The "tensile" strength comes from how successful this combination of Wire-NylonSheathing is to keep the cable wires from un-twisting.   Information about tensile strength is not provided by the manufacturers.   Sometimes they identify the wire as "stainless steel", but there are hundreds of grades of stainless steel.    Once the nylon sheathing is pierced or deteriorates in some way or allows air and contaminants to penetrate it, the cable wire rapidly loses its strength, and breaks.

Some brands organize their low end to high end based on the number of strands braided within the cable.     Other brands do not.    One company's 49-strand product might be much weaker and less flexible than another company's 49-strand product.