Just putting your browser in "private mode" will keep cookies and history from being saved on your computer, but it wont keep your Internet Service Provider and the NSA from spying on you. You need to encrypt your interenet connection and mask your IP Address. Unencrypted and unmasked, your Internet Service Provider spies on you, analyses your data and reveals personally identifiable information about you to the public. Some Internet service providers include your name, email, and phone number in your IP Address. Solutions to this are using a proxy or VPN. Using them is easy and effective.
Nord VPN is located in Panama, Outside US and EU jurisdiction where there are no data retention laws. It uses double layer encryption with RSA-2048 / AES-256 and tor. If it disconnects, it has an internet kill switch and DNS leak protection to protect from any leaks, it also has a no log policy regarding users data so not much to turn over to anyone.
Proxy.sh is located in Seychelles which is also outside the US & EU jurisdiction where there are no data retention laws. It uses RSA-4096 / AES-256 encryption and an internet kill switch plus DNS leak protection to protect from any leaks. They also have a no log policy regarding users data so not much to turn over to anyone.
Tor is a proxy that has been around a long time. It is a free and opensource privacy tool that "protects you by bouncing your communications around a distributed network of relays run by volunteers all around the world: it prevents somebody watching your Internet connection from learning what sites you visit, and it prevents the sites you visit from learning your physical location."