What would be good for electrical check?
For the capacitors how should this be tested?
jfs
looking at this thread from top to bottom, a couple of things stand out. Looking at a used integrated amp is an OK idea if you know something about what you're evaluating. Saying things like "you can get a meter" if you need to just doesn't go well with "what would be a good electrical check and how do you check capacitors"?
This shows that you're probably not up to testing an integrated amp yourself from an electrical health point of view. The best thing that could happen is nobody or nothing gets hurt. Most of the rest of the possibilities aren't so good.
If you have your heart set on a used amp, find a local shop that can test it for you and give you either a bill of health or an estimate to rebuild those components that need it. If you can't see the amp or get it for testing ahead of time, you have some serious decisions to make.
Many people think, incorrectly, that an integrated amp will somehow deliver a better musical sound than an AVR. Its just not the case. There are a ton of AVRs out there, new and used, at just about any price point that may serve your needs without repairs or sticking your fingers where they may become unhappy.
You didn't mention a budget or price point. But, even on a budget, there's a lot of used gear that will get the job done without too much financial risk. You have good tastes in music (loved your list of artists) and some good speakers (the SVS). You should be able to get hooked up with some amplification without too much struggle.