I really don't like the style of the Kyrie 3s. I may be alone in that, but I hope a major redesign happens at some point so I would pick them up.
I'm honestly not much a fan of their design in terms of either looks or performance.
Basketball shoes have just gone downhill in so many ways over the last few years. Quality of materials is down, tech is down, support features are down.
My go-to shoes are still the Kobe 8 Elite:
I wear these with the regular Kobe 8 (lunarlon) midsole. This combination is light weight, the traction spectacular, the fit (with the engineered mesh and flywire) is first rate, and the support (carbon fibre heel counter and shank) is exceptional. And they are durable! I've had the same pair of Kobe 8 Elites since they released some 3 or 4 years ago, playing in them pretty much every week, and the traction is still good and the upper is still perfect. Incredible how well they have held up for such a lightweight shoe.
I used to have really bad foot issues (Plantar Fasciitis) issues - bad enough that if I stood for more than 45 minutes at a time it would feel like I was walking/standing on shards of broken glass. I got custom orthotics made a couple of years ago and the issue is now mostly gone, but if I wear shoes with improper support over an extended period of time it starts to comes back.
The Kobe 8 and Kobe 8 Elite are the ONLY shoe I can wear and play in, without orthotics, without experiencing foot issues - the natural support is just that good.
I also have loved the AJ XX8 (I believe it was the best performance AJ shoe ever made) and it's sister the Melo M10 (awesome looking and playing shoe) and also really like the CP3.VII and Lebron XI. Oh and the Penny V was pretty cool too. That specific period of time was (IMHO) the peak of basketball shoe design - almost all of the shoes out at the time were great.
Since then everything seems to have gotten worse with the only exception being the Kobe AD NXT. Just picked these up a month or so ago and they seem really good, but haven't played in them yet.