I've got a small "collection" of various single and double jointed snaffles made of different materials, with different cheek pieces and of different widths.
My "go to" bit is a loose french link snaffle that is a bit on the thinner side. I have quiet hands and while it may not be every horse's favorite bit, I have yet to have a horse object to it, so it is usually where I start. One of my horses still goes in this bit for dressage work and jumping other than hunting/xc (for that he wears a hackamore).
After some trial and error, it became clear that my other horse vastly prefers a single jointed snaffle and really prefers his bit to be quite stable. So I ride him with a single jointed eggbutt snaffle that is of moderate thickness and is a bit heavy.