Hip Mobility/openers

I’ve been struggling for awhile now with front hip pain/tightness; probably from poor form, going too wide, and going too heavy on squats. I’ve done a good bit of research, mostly from SU on YouTube. Even with rest it always seems to make its way back. I’ve also noticed that during squats I push more off my left side than my right, even when trying to make a conscious effort to push off the right. My question(s) are: what are your go-to exercises for hip/glute work and how do you incorporate them? Are they done before as a warm-up or after? Or do they replace some time on your leg days?

Edit: Might be a different topic but there’s some pain/tightness just above my knees which I think resides to tightness in the quads. My questions above apply to this as well.