JKK has hypno goggles, which works better with high TC, and this faction has amazing Persuasion bonus, up to 35 points, which is a huge boner for me. But their shop is kinda meh for psi build
CoreTech has better electronics, which means, you could find Q155+ very consistent and get some thicc psi-band quite early, implying you have enough barter to open their Tier-2 secret shop
Praetorian has better plating, so you could craft very good psi carapace tac vest. And there's some "mysterious pillar" on their questline, which might be interesting if you like lore. I think that this faction has additional Oddities, so it might be a positive.
For the other 2, Tincans are more gun oriented, so it's less useful than Anarchist, which usually sells pretty high clothes and plating
