Scared??? Don't be. It is possible to hide yourself from such websites while browsing web.
Anonymous Web browsing is the process of surfing the web without being tracked, i.e. your IP address is not provided to the server and even cookies can be terminated on third party systems. Hence protecting your online identity as well as activity.
There are several ways to protect the online identity while web browsing, with the use of a proxy server, or anonymous proxy server.
Proxy Server hides IP address, the browser send the request to proxy and proxy receive and forward the web pages to client. The remote server will view the information of proxy server instead of user’s information, for protecting online identity. But be careful, it is possible that the proxy server, may record your browsing history.
Anonymous Proxy Server carry out the same process with an assurance of not disclosing your identity. But sometimes malicious hackers also use them to protect their identity at the time of launching attacks (like sending malformed URLs) as the proxy hides the source IP address of the hacker performing the attack. There are various free anonymous proxies available on internet. You need to be extra careful while using them as you don't know who owns them and also why they have made this available publicly. Some are hosted for research purpose, while some may have malicious intentions as well.
Never perform any transaction like money transfer or sending passwords through such services.