I'd start and ask yourself why you want yoga specifically. You look like you just want to work on your balance from a physical standpoint, so let's hit that first.
Look up Proprioceptive Neuromuscular Facilitation stretches. These function similar to some yoga, admittedly less on balance and more on flexibility and range of motion, but all of these concepts are somewhat related. Bonus is that it's very science-based, you won't see too much yoga woo around it. I was introduced to this stuff by Bill Esch in his Ultimate Kettlebell Warrior program (we're replacing woo with cringe, just roll with it) and he put it at the end of a lot of days once the body is loose and ready to really stretch. But his programs are very expensive (he puts them on sale often, wait for that if you want).
Second, in terms of mindfulness, this doesn't have to be yoga here either. I personally find a lot of mindfulness occurring when I do a program that has incredibly short rest timers, like Brian Alsruhe's Reps Per Minute (much more reasonably priced). When you're doing 60 squats in 10 minutes, you really can't focus on anything else but doing squats. It's just you, gravity and the bar on your back trying to drive you into the ground and you saying "no, you will not." Unlike a lot of programs with 2 (even 3) minute rest timers, you don't have time to get in your own head or check your phone. You inhabit your body and listen to it for proper form and go. Your mileage may vary, but I find doing complex movements (squats, deadlifts, etc) with little rest (and then of course, lower weights, like 45% of your 1RM) very big on clearing the clutter out of my mind.
Ultimately, I don't mind yoga even though it's got some woo, but I was fortunate to take it as a college course at a midwest university to satisfy a gen-ed requirement and so my instructor was not some 11% body fat YouTuber talking to me about chakras or something. I had a hearty woman from the plains just telling me how to get into the poses properly. So, I can't be much help if you specifically want to get into yoga.
There's a lot of just training your brain. Being like: "this is the time we do X" and then just doing it. I'm stealing a bit from the classic writer's book, Bird by Bird, but I found it works well for me. Lamott suggests just picking a time that works best for you for writing in her case and just doing it during that time, even if you just stare at a blank word processor (the book is old, OK haha). Eventually, you will carve a groove.
I'm sure this doesn't work for everyone, but it has worked for me. I decided that right after work, before my child gets home from school, that's my writing time. It took a little while, but now when 4:00 PM rolls around, I'm writing. Almost every time.