From a tech perspective, there’s zero safe scenario for kids on Omegle. It’s a hard block, for sure. The platform is infamous for its lack of moderation and high risk of exposure to explicit content and predatory behavior.
Blocking it on your home network router is a start, but that won’t work on cellular data or other Wi-Fi networks. My take: use an app for a device-level block. Parentaler has a website filtering feature that lets you block specific URLs directly on their phone. That way, the block is always active, no matter how they’re connected to the internet.