Thanks for all the feedback, guys. I ended up trying out the free version of LastPass and really liked what I saw, so I started importing and updating all my passwords, and got so caught up in it that I only later realized that I'd locked myself out of everything on my phone. Sure, I could have manually looked up and entered the new passwords, but they were all auto-generated and pretty complex.
So that means that I'm now a premium subscriber to LastPass, and very happy about my decision. There was a moment of dismay when the autofill feature on my phone didn't work for the first passwords I tried out, but I calmed down when it worked on every subsequent one. It's a bit hit and miss, I guess, but overall I'm quite satisfied. I like the two factor authentication, it's simple and very easy to use. All in all, I feel very good with my decision, and will be installing this on my mom's computer, too, as she needs it more than anyone. :)