Call me paranoid, but lately, I've been concerned if my skype account may have been compromised or anything. I've changed my password as suggested, but I still just don't feel as secure as possible. This is because of the ability to have multiple computers logged in to the same skype account, with no indication whatsoever of when this is happening.
Are there any ways to detect if there are multiple logins? Any way to disable it fully?
Even if there are none built in to skype, is there any way to say, trace how many IP's a message ends up going to?
No, I want to make sure that nobody else is logged in on computers other than mine, in case my account was compromised, and someone is skimming my messages or something.
(And since I changed my password, in case it was re-compromised somehow)
The steps you have taken (changing password, ensuring that you're signed in on only one device at a time) should do it. There's nothing else to be done.
Entia non sunt multiplicanda praeter necessitatem.