Some older models may have a screw type clamp. For this you will need a socket or screwdriver to twist the screw on the hose clamp. Counterclockwise should loosen and clockwise should tighten the clamp.
These will be a set of two metal lines running into the bottom of the radiator. Do not bend or kink these lines. Be aware that the transmission fluid is also toxic and should be appropriately disposed of.
The condenser mounting bolts are usually near the top corners of the radiator. You will not need to unhook any lines or hoses from the condenser.
It is likely that there will be gaskets that fit between these lines and the radiator. Be sure that the gasket did not get left on your old radiator.