To start with I tend to look at Seat tube length and Horizontal TT for sit down pedalling. And then Stack and Reach for stand up riding. I get out the tape measure and compare it to my bike and friend’s bikes. And then adjust my saddle to the same height as the new bike would be and then using a longer or shorter stem I set the bars to the length they’d be with the new bikes reach. Not to ride like that, just to see if it would be too tall/short or long/short as a reference.
This helps to start with as I find it hard to picture the new geometry in my head.
Do you want a bike the same as yours or longer /shorter/taller/lower? Decide what you think you’d like to change (or not) and then try to get a spin on them (or a demo if you can).
Then decide if you want shorter stays (easier to manual) vs slightly longer/more stable at speed – usually there’s only about 10-15mm in it. Slacker HA, etc.