What's the best way to track segment-specific conversion performance?

I'm struggling to understand how to effectively track conversion performance across different customer segments in my e-commerce store. Currently, I have multiple marketing channels and customer groups, but my analytics feel fragmented and lack clear insights. I need a systematic approach to break down conversion rates by audience segments like new customers, returning buyers, cart abandoners, and acquisition channels. How can I set up tracking that provides actionable intelligence about which segments are performing best and where I should focus my optimization efforts?