Other than the 4 nuts, you obviously have get the trunk trim out of the way. You'll also see the connector for the fuel gauge sender unit.
Under the car you need to remove all the hoses.
That's about it, maybe go ahead and push the grommet around the fuel filler neck into the car body (leave it on the neck).
I'd also recommend removing the spare and the cover over the spare (trunk floor trim) and putting some old towel down in case some of the fuel is left in the tank and decides to run out when you remove the tank.
PS yes, the tool you saw being used on the coolant hose is probably the same tool I am talking about.
Also the main fuel feed hose, from the bottom of the tank to the filter and pump assembly often needs to be removed from the bottom of the tank to be able to easily remove the tank.