Jimmy takes the data to S.T.A.R. Labs which the 3D imagery to test Dr. Platt's theory for the explosion of the Messenger in The Pilot.
According to
CloisWorld\'s Complete Guide to Characters Dr. Bernard Klein doesn't show up until "Don't Tug On Superman's Cape", BUT he knows all about Proffessor Jefferson Cole from "Dead Lois Walking" story arc, who apparently worked at S.T.A.R. Labs before being sent to jail several years before he goes after Lois. Plus, Dr. Klein is promoted to management / head of his deapartment towards the end S4, leading one to believe he's been at the lab for quite a long time. He also mentions back in, I'm guessing here, "Voice from the Past" (when he's trying to track Lex Jr ??) that he hasn't been on vacation in
years. I'd have to check, but I think he says something like 5 years, implying that he's been at STAR Labs for quite a long time.
BUT, if you need Dr. Klein to be out of Metropolis during S2 (or before) and just moves to Metropolis in S3, you can always ASSUME he moved there / transferred there from another STAR LABS facility elsewhere.
In S2, Dr. Emil Hamilton (after creating the clones from TOGoM) goes to work at STAR Labs. If you need to know the name of someone else who worked there.