My tips are:
1) Actually be a good parent and reasonably supervise your young kids when they are online.
2) Talk to your kids and educate them about the real world. You can't watch them 24 hrs a day so they better have been warned about the evils of the world like pedophiles, online predators, and right-wing extremists (the most dangerous of all)!
3) Smart (well educated) kids are curious but do NOT have delicate minds. Despite how much cussing they accidentally hear on youtube, or even if they get an accidental face-full naked flesh from a porn pop-up advertisement, they will not care one bit as long as you (the adult) don't make a big deal out of it.
4) Be open, honest, and clear when communicating with them about the Internet and what general types of content they are allowed to view. And, more importantly, explain WHY they cannot chat with strangers or visit "adult" websites at 8 years old. Explain the real dangers and a well-grounded child will appreciate that you love them enough to explain things to them instead of just setting rules for no reason and saying "because I told you so."
5) Look into OpenDNS, create an account, use their DNS server settings on your router and all devices that they use, and use your account settings to block the most dangerous categories like Malware, Phishing, Web Spam, Hate, Tasteless, and hard Porn.
6) If you find yourself blocking more categories than those then understand that you will have removed the ability for your child to learn about the world including topics that you, as a prude, are uncomfortable with. Do your child a favor and allow them to use the incredible resource that the Web provides.