Using the internet opens you and your family up to all sorts of unsavoury things like pornographic material, malware, phishing attacks and other types of fraud.
No browser is able to keep you completely safe, but you can adjust its security settings to the level you want, depending on what your needs are.
If you're using Internet Explorer 7:
(If you want extra protection, have a look at McAfee's Site Advisor.)
Next, install a website filter on your computer. This is especially important when your computer is open to the whole family and you don't want your kids to access websites that features pornographic material.
Try ParentalControl Bar first — it's free and many swear it's as good as the ones that you have to buy. If you're not convinced, however, you can also try out Optenet Web Filter PC for its 14-day trial period. If you like it, then buy it.
Lastly, install a good spyware / adware protector on your computer. Try Lavasoft's free Ad-Aware — you'll have to manually scan your computer with it periodically, but if you like it, then you can buy an upgraded version that includes real-time protection.
Did Gideon miss anything? Please share your tips for safe surfing by commenting below.