There are a number of very good soldering tutorials on YouTube that illustrate proper soldering technique. I recommend carefully watching several before beginning. Here's a good one...LINK:
http://www.youtube.com/watch?v=I_NU2ruzyc4
As in the video, practice on a cheep PC board from Radio Shack, for example, until you build confidence.
Then start with a receiver that's not too crowded inside the case, like the 2230, 2220B or the 1060 integrated, for example. Once you've comfortably completed one of these, you'll know if you're up to speed to move up in complexity to your 2275. The 2325 or larger receivers are best left to the pros, though. But, if you successfuly complete a restoration of your 2275 you're definitely on your way. Practice makes perfect...