What kind of shop would you recommend I should go to? A Best Buy, or somewhere like a Fry’s?
If you've a Microcenter nearby they're pretty good. At least mine is.
I'd imagine Fry's would have a good repair too but I've no experience with them. And aren't they shuttered? maybe only some stores.
Best Buy has the Geek Squad... based on the many derisive comments I wouldn't trust them with a toaster oven. But if that's all you have....
Then there's looking in the yellow pages and asking around.
All I know is terminating that wire is important and getting it wrong can be serious damage. It entails either soldering or crimping, and basic knowledge of electronics along with use of a VRM and ohm meter to be confident you've got the right termination point. So if you've never done such things it's important to have over-the-shoulder guidance to help.
Even once you've got that there are no assurances since you're swapping processors that may not be compatible. You'll have to post full system specs to get advice from Intel experts. But that's only after you've got that wire properly terminated.