Question about logmein..

I have issues getting to my personal email from work, so I thought this might be a good solution.

Is it?
Once installed on my home PC, I'm assuming I go to the logmein website to access it. Correct?
If so, as long as I can get to my personal stuff/email and any web browsing I might do is via the logmein website and not my work computer, hence there is no security issue with my work computer. Right?

Any gotchas?

Many thanks.