Do you have any tips on things to do outside of the saddle to help when you get in the saddle?

Have your horse respect you!! Go into the arena and maybe do some verbal command (stop, walk, trot, etc).
Try and find a special horse to u and start working with it then if ur not comfortable riding plain bareback then get a bareback pad i never liked riding with a bareback pad but most people do
I test my balance bareback to get better in the saddle. It is also fun to do.
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