For shows, I have a simply western jointed snaffle with shanks. Not huge ones....just the simplest bit I could find that was a western one (since I hardly ever use it)
The english bit I use is a jointed Eggbutt. I wanted to get a double jointed one (believe that's the name of it) but none of the stores had it and I would have had to order it....and both places believed they were back ordered. So I got a single instead.
But normally, I ride in a simple rope halter. My horse does not need a bit so
Why use one? Personally I dont' think any horse needs a bit, but that's just me