First off, the hottest fence going won't do lasting harm to anything.......cats.....chickens......you. May regret being born for a few minutes, but all will recover in short order.....but none be in any hurry to get a 2nd dose......ever.
To help you visualize what is intended......here is a quick, short term fence I put up in a garden area a few months back:
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Actually, this was put up to keep the chickens out of this fragile area, but would also keep the birds in.....and varmints out. This one only has two strands.......adding two more.....4 strands total....is best. Even with 4 strands, top strand is only 20 inches or so off the deck and can be stepped over, so no need for a gate. Even at 20 inches, effective against almost all land based predators. They won't jump over it, but will try to crawl under or through it and get zapped in the process.
Look close and you can see all the clips molded into the white posts (posts have a large spike nail on the bottom......and a step......you literally "step" them into the ground. With the poly tape, fence can be stretched tight enough by hand and will not pull posts over. If you were to go all the way to the top, you might have to brace the corners, but the rest will stand up straight...no worries.
As an alternative, you could substitute steel T posts with donut insulators on the corners, which would be almost required if using wire.
As to your shopping list, for now, I'd suggest you go with a poly tape or poly rope vs. the heavier galvanized wire. Will be just as effective in the short run, and far easier for a beginner to work with. If you insist on using wire, use the lighter weight aluminum wire, and you will need at least one "strainer" per wire run. Strainers are the ratchet tighteners and are sold with the electric fence supplies. You will never be able to tighten wire as much as you need to by hand.