For me anyway, it where you hit the ball on the rise is also a big factor. For example, when I hit my backhands on the rise, I tend to hit them at my waist more, while I hit my forehands at the chest height. This is just me on how I hit balls on the rise because I find that I have a hard time hitting backhands with stability while I have little pace on the forehand. So, just watch where you're hitting on the rise, so if you hit your bh at a certain height in particular, try that with your fh side because that may be the more safe shot.
A lot of the suggestions here were good, including keeping your eyes on the ball the whole time from arrival to contact to follow through.
Try to keep your stroke compact for hitting balls on the rise. I used to hit my strokes all loopy on the rise and found it was too difficult because then I needed an extra second of preparation each time and that was just obnoxious. I don't know about others, but if I try to hit with a lot of topspin I find it really hard to do on the rise. So, instead of the old brushing up tactic for a normal forehand, make it less low to high, and more parallel.
Sorry if this isnt too helpful because I have an easier time with the fh then bh.