Thank you all so much! I feel so much more confident now about creating my project manager resume. I'm going to:
Create a strong "Leadership Experience" section at the top
Quantify all my achievements with specific numbers
Use proper PM terminology to describe my experiences
Include concrete examples of problems solved and lessons learned
Maybe look into that Google PM certification @EngineerInTraining mentioned
I'll start with reshaping my resume myself using all your advice, and if I'm still struggling, I'll check out the professional services some of you recommended. You've all been incredibly helpful!