Funny you mention that, I was at the gym watching the young bucks struggle with too much weight tonight. Also would add if you’re looking for a great squat tool the belt squat machine is amazing!The main thing for me in a public gym is to remove any ego. I am there only for my health. I've learned as a middle aged guy that it is best to make the lightweights look heavy. That is lift with perfect form but don't go to absolute failure but instead stop once the next rep will be one with less than ideal form. Also, now, instead of trying to add weight, I try to add reps and sets. I do not consider adding additional weight until I can do 4 sets of 12 reps with a weight.
I struggled with front shoulder/bicep tendinitis related to bench press for years. This was partly due to not always setting up and retracting my shoulder blades correctly. However, the most underrated chest exercise, I believe is the decline bench press. Gym bro science has it wrong. The decline bench uses more of your chest than any other bench variation and actually hits your upper pecs better than flat bench (the angle of the decline stretches every fiber in your pec). Lastly, the geometry actually pulls the humerus head slightly out of the socket to avoid impingement. It was Dorian Yates main chest movement (6 times Mr. Olympia) because it did not hurt his shoulders and so he could do it all the time without injury.
For a squat movement, sometimes I'll just hold a 30 lbs weight like a goblet and just 5 or 6 sets to near failure. You will get muscle growth without compressing your back with all that weight doing traditional squats.