Just my opinion but heartbleed bug is about openssl fo https.
So, https exist to cript data from client to server (when you type you password in login and post to server "yourpassword" became "saddwdaw8w878927323hcdhch" and only the server can understand/reverse this crypt).
This thing is usefull if you are connected to a open wifi or someone is in your network and could sniff to what you send from the client, in this way even if the "man in the middle" sniff some data they are crypted and only the server can translate them.
so, my advice is to check always you connection to internet, set a secure password for your wifi/modem.
never use internet explorer, google chrome, firefox, safari opera are better.
never install toolbars in browser, they normally get a lot of data from what you do on internet and slow down you pc/mac.
check your browser is updated (some browser autoupdate by themself so no need to worry).
get a good firewall/antivirus like avast and keep updated (avoid things like norton or macafee they will screw your file system).
keep your os updated (if your os cannot be updated try to get one that can be kept up to date).
another good thing to do is to use strong password, never use family, friends,pet name or birthday or anithing that can easily get by your or your friends facebook account.
Try thinking about something you normally don't write online or even better random.
Uppercase,lowercase,number and symbol can make a strong password.
BabaMama980 is a good password
inghippo84 is not