Can I hide my IP address? Yes, you can! You can hide your public IP address on Internet but it's not always possible to be able to hide your private IP address or home network IP address.
Here're some of the popular and easy ways to hide your public IP address:
Anonymous proxy server - Using an anonymous proxy server, it's very easy to hide your IP address on Internet. An anonymous proxy server surfs Internet or websites on your behalf and passes the information back to you once it receives it. While doing so, the proxy server uses its own IP address to fetch the information you request while masking your IP address. So, the remote website would only know the IP of the proxy server while your IP address remains hidden as it's never disclosed.
VPN Service - A VPN service can hide your IP address, let you bypass country or GEO restrictions for online services, block ads and in some cases also bypass ISP bandwidth throttling.
Tor - Tor is free software and an open network that helps you defend against a form of network surveillance that threatens personal freedom and privacy, confidential business activities and relationships, and state security known as traffic analysis. If you use Firefox browser, here's the Torbutton for firefox plugin that will safely manage your Tor browsing to prevent IP address leakage, cookie leakage, and general privacy attacks.