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I do that.
It'll help against a simple keylogger. Not to worry you any more than you already are but there are nastier things than keyloggers. It could be used in conjunction with screen capture software that basically starts recording what's on your screen when it sees you're on an encrypted page. It could also capture mouse movements and see what you highlight just in case you add extra characters to your password and highlight and remove them with the mouse.
Heck, If the computer is compromised, it could easily redirect your page requests and instead of sending you to your bank website it could send you to some identical looking fake site and you'd just send your info right to them.
I would follow Douglas Adam's advise. DON'T PANIC!
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“It is better to be rich and healthy than poor and sick” - Dave Barry
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