It's not hard. Paul L has it almost right. You use a combination of the stabilizers and the bucket itself to take the weight off all pins, so the entire backhoe is supported by a tripod of the bucket and two stabilizers without lifting on the tractor. If there are multiple possible mounting holes, then mark the correct ones with a paint marker or similar for future reference.
As you are just replacing the top link bracket, I think you can stop here, remove the top link, replace the bracket and reassemble. The following are the next steps if you want to completely remove it:
Pull all the pins so the backhoe is freestanding then drive the tractor forward about a foot (limited by the length of the hoses!), lower the backhoe to the ground, shut down the tractor and disconnect the PTO pump. Take note of exactly how the pump is oriented before removing it. There will be some sort of bracket that keeps the pump from spinning. On my rig, it just slips into the drawbar recess, but I think on the Woods it goes around the drawbar.
Reconnecting is the inverse. Back the tractor up so it is pretty much in line and within a foot or so and shut it off. Connect the PTO pump, engage the PTO and use the stabilizers and boom to raise the backhoe off the ground. With the tractor at or just above idle, back the tractor into the hoe, fine tuning the angles as required with the stabilizers and boom until you can reinsert the pins.