So a 1st person shooter and a 3rd person Shooter, both of which had their heydays 15 years ago.
I'm not knocking you for your preferences, of course. I don't have either a PS4 of X1, and last gen I had both consoles with equal amounts of libraries. No horse in this race for me, I've got the golden wombo combo of badass PC + Switch. I may get a PS4 to round it out though. You may actually like The Order 1886, although a lot of people shit on it. It's a 3rd person shooter with cover mechanics and QTEs, very similar game play to Gears. It's just more story focused, so a little less game play and a little more narrative.
To the TS: most of the pros and cons for each console have been mentioned. To me, it seems like a PS4 is more suited to your tastes, but maybe also a Switch. The Legend of Zelda: Breath of the Wild is incredible.
If you compare the Xbox 1X to the PS4 Pro, the X1 is the more powerful console, but you have to deal with it's utterly shit tier UI. PS4 has the better exclusive library, as Xbox only offers Halo, Gears, and Forza. There is the EA pass, but fuck EA, they're not getting a cent of my money. I'm still holding off on BFV for my PC just because of the publisher being vampiric. Xbox does have the backward compatibility, and to be honest I am the kind of person that replays games a lot, so if you're the same that may interest you.
TBH you're better off with a PC. All Xbox games come to PC, multi-platform games all make their way to PC, you have every library of console video games at your finger tips through emulation, plus most games are going to perform better(higher resolution AND higher frame rates). People talk about the X1X 4k resolution but never mention frame rates... that's because they're getting 30FPS with drops. People will say, "But PCs are expensive! You need to spend $800-$1000 to run games on high with 60+ FPS," which is true! What they fail to mention is that they bought an Xbox 1 at release, then the S, then the 1x(or PS4 then PS4 Pro) all at $300/400+ dollars, so they've spent more money on the same console in the same generation, on hardware that will be obsolete in the next year or two. The cycle then begins again. Another thing are game prices. Sales on Steam and GoG happen ALL OF THE TIME. Never spend $50.00 for a used copy of a relatively new game at GameStop ever again. Also, hard drive space, although I think consoles have made it easier to upgrade your storage space, you can have faster boot/load times with an SSD in your PC.
PC > Switch/PS4 > Xbox IMO