Please be realistic, you're unlikely to have a fully operational tank in your backyard.
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I'd try to be inconspicuous at first and wait it out; I assume a lot of idiots will kill each other in a panic during the initial phase. I think a little crow/demolition bar would be the best tool/weapon to carry around. If I'm still alive I'd try to find a reliable source of water first and then plan other survival tactics around that 1 essential thing. Also, utilize vehicles for travel early on because they won't be much good without some repair work after sitting for a couple years, oh and fuel doesn't keep forever either.
Maybe live up a tree so I can look down on the zombies. Also have wondered if stilts would be useful...if high enough could walk amongst without alerting them to my presence.