If your backhoe is a TPH type as you mentioned in a later post, try the following.
First lets get one thing clear, there is NOTHING safe about a TPH backhoe or its removal, <font color=red>SO BE CAREFUL</font color=red>. If you have not done this before I do not recommend you attempt it alone, call your dealer and have him come over and help you the first time (pay him if you have to it’s money well spent).
Start by finding a level place large enough for both the tractor and the hoe. This is really important. Back the hoe into position where you are going to set it down and lower the FEL to the ground. Lower the hoe stabilizer arms to the ground, then move the hoe bucket out until dipper arm (the arm with the bucket attached to it) is vertical. Lower the bucket to the ground. You should now have three points of contact between the hoe and the ground.
Using a combination of down pressure with the hoe bucket and stabilizer arms you must now take all of the weight of the hoe off of the TPH of the machine. You may find that this is not entirely possible. So (here is where it gets tricky), you have to use the hydraulics of the hoe to move it up down right and left until you can remove the top link. Then move it again to take the weight off of the lower link arms and remove them from the hoe. You can move the Hoe bucket from side to side a little to help get the lower link arms off. You may find that you can only get one arm off at a time and that you have to move the hoe again to get the other one. You may even have to “creep” the tractor back and forth a little. <font color=red>BE VERY CAREFUL WORKING AROUND THE REAR OF THE MACHINE WITH THE PTO OPERATING AND THE HOE ONLY PARTIALLY CONNECTED</font color=red>.
Once you have the TPH disconnected you can pull the tractor forward a few inches (Be careful not to break any hoses. At this point I would put blocks under the hoe to make sure it stays put. <font color=red>TURN OFF THE PTO.</font color=red> Then you can remove the pump or hoses from the tractor or from the PTO. Pull the TPH lower arms together and secure them (so they do not hit the tires), and drive away. ). <font color=red>DO NOT RELIEVE THE PREASURE ON THE HYDROLIC SYSTEM OF THE HOE</font color=red>.
The point here is that this is not easy and it will somehow be different each time you do it. I finally got to the place I could drop the hoe in about 15 minutes after 9 years of practice. It will usually take you longer to put it back than it does to take it off. You just have to be patient and work it through. Don't hurry and do not make any large or sudden movements with the hoe or the tractor as you are working.
I would strongly recommend you spend the 800-900 dollars to upgrade your hoe to a subframe. Woods and others sell the frames for installation on a lot of tractor hoe combinations. If you can't find one your dealer can build one for your setup.
Good Luck, and remember - Safety first.