Basic privacy

If you want to hide your ip for whatever reason, either because you are a political activist or because you want to take your privacy to the extreme, start with the base layer.

Don't use your isp connection, use a neighbor's isp connection or a public site like a library. You can use directional wifi antennas that receive wifi signals more than 1 km away, so you can use an unknown neighbor's connection, most home routers are easy to hack.

However, use tor, i2p or a vpn, although I like this last option less.

Don't use your everyday operating system, as it has many traces that can identify you, especially the browser, use a clean system through a virtual machine, live cd or Qubes.