you will need a keg ( most use cornelius kegs, either ball lock or pin lock)...... a co2 tank with a regulator....a tap......beer line.....connectors.
Sanitize your keg and rack your beer into it. I personally cold crash the beer so when I rack it into the keg I can force carb it right away. Once the beer is in the keg, attach the keg lid and turn your co2 regulator down to about 5 psi and put co2 into the keg......shut off the co2 tank and pull the release valve on the keg....repeat this process a couple more times. Turn the co2 regulator up to 30 psi and hook it to the keg and start rolling or shaking the keg. do this for a couple of minutes. Set the keg upright, turn off the co2 regulator and pull the release valve on the keg. set the co2 tank at about 10-12 psi and hook it back to the keg....attach the tap and drink.
If anyone tells you to do it differently, they are probably right.