Tools and feasibility of tearing down a wooden shed held together by nails
Absolutely doable, though it may take a while.

If your goal is to end up with wood that is usable for another project, then hammer and crowbar are the right tools. If your goal is simply to remove the shed and toss everything in a Dumpster, then a cutting tool such as a Sawzall:



will make the project much easier.

If you plan to reuse the wood, then removing nails is important and pliers or vise grips would help a lot. If you plan to burn the wood then:


Removing nails is important
If the wood is old &amp; painted then lead paint is a big concern. Actually, any paint could be a problem but lead paint would be a major hazard.
If the wood is pressure treated then burning is not advisable.