Hi Dave, and looks like you are new here so welcome! Thanks so much for your encouraging note. I don’t know about doing gymnastic exercises, maybe something pretty easy
I’m doing so well with the weight-training, and I love the isometric/body-weight type like planks I learned here plus 4 others I do. The one called Bird-dog I couldn’t hold for even 20 count because my balance was so bad. Now I can hold for 40. I love squats and I do those at the gym on a Smith Machine, but so far, only the bar itself, no weight added 
I may take a couple days off now if I overdo, I think I pushed with my upper body a bit too hard and might have over-used the tendons that are in an area between my shoulder and elbow, but already, since I’m sticking to lower body for a time, no pain now. Just want to make sure I’m ok to “go” with my upper body and take it just a bit easier. I got so excited and just did a lot, I think I was there at least 1 and a half hours 
I’ve learned a lot on this forum, couldn’t have adapted to Keto without the help of folks here, and also on the weight-training, and other health issues that are discussed. Glad you are here, and you’ll meet some nice folks
Denise