There were already multiple instances of Xbox product placement on TBBT, so I'd be somewhat surprised if he chose PS4 over Xbone.

He might get both or none, but my prediction is: After hour-long consideration, he'll suddenly decide to buy the Xbone, ultimately because of one particular game (Halo?).

considering the constant jokes in tbbt about the kiddie behavior of sheldon and others, it will choose wii U.

I've only seen him playing 360:

or Wii

Also he was a member of the Nintendo Club.

One time he played on PC: It was a text-adventure "drop axe!"

"Bang" not "Band" don't think he'll pick one.. glorious PC Masterrace

There was an episode a few seasons back when they were robbed and when it came to listing games stolen to the cop Sheldon named every recent in at least the past few gens from the big 3. Both PS3 and X360 have been mentioned a decent number of times on the show. I wouldn't be surprised if he just went with both. There's also been many episodes that show money isn't a problem for Sheldon and Lenard.

Fixed

I love the show. His personality and love of motion gaming would make it seem the Xbone is the fitting choice, plus Sony is too poor to really advertise on a show like that. Maybe he buys both, or all 3? In the end, who cares. Games are seldom brought up on the show anymore.

The synopsis of that episode is already online.

In the end, he buy’s one console.

I wont spoil it, but you can read it here.

I strongly dislike this show, so I hope he dies at the end of the chapter.

Would actually make me to watch the episode

I'm pretty sure he'll go with or none, both more likely.

Edit: guess I was wrong :D