Greetings from the front range in Colorado
Welcome to BYC! As others have stated, there is already a wealth of info posted in the learning center and on the various threads.
Now, if you want to do this like most "ordinary" chicken peeps, you'll just run out to the local farm store and pick you up 10-15 chicks and bring them home. Don't worry, they're SMALL! No need to worry that you don't have a coop for them yet either... They'll need to stay in the brooder for at least 3-4 weeks, which is plenty of time for you (or your significant other) to (procrastinate & NOT) build that taj mahen coop you have pictured in your mind.
Also, I know you really only want to start with 5-6, but you might lose a couple along the way... you know, your dog decides one should be a chew toy, the cat had to play with one too so as to not feel left out, & some just aren't meant to survive. Also important to consider... if you want pullets (hens less than a year old) for eggs, you know 1/2 of what you buy will turn out to be the OTHER gender... you know, the one that CROWS and ticks off the neighbors?
Now, for that brooder I mentioned, that's the container for the chicks that you use to let them grow up a bit in before placing them in their new coop. Many folks bring them home and place them in the bathtub initially (which isn't the best option if you only have one bathroom) or in a large cardboard box placed in a spare bedroom or better yet, on the dining room table! You'll need a heat source for them for the first couple of weeks till they feather out. You don't want to place the heat lamp where you'll cook the chicks, and want to leave them enough space to get away from the heat and cool down if they need it. Some folks use heat pads placed like a tent that the chicks can get under (like a momma hen) when they need warmth.
When the 3-4 weeks is up, and the coop still isn't built, and the birds are now flying out of the bathtub (or box on the dining room table) and doing walk-abouts in the house (hate it when they hide under the couch and get stuck!), it will be time to give them the spare bedroom, all to themselves! You'll find those misplaced chicken turds all dried out and petrified in the most unlikely places months from now. Oh, and by this time you will have realized exactly how much DUST (dander) a group of chickens can make, and these aren't even near full grown yet! Just wait till they are! Anyway, recommend you place a tarp down in the spare room and some wood chips to help absorb some of the moisture. You can always replace the carpeting and repaint the room next year when the chickens finally move out into their own (finally finished) digs.
Anyway, welcome again and enjoy your adventure!