Actually, the arrows are more important than the bow. You could shoot a 40 year old Shakespeare and if the arrows are right for the bow in your hands, it'll be more accurate than you will ever be capable of shooting. By the same token, you could be shooting a 2000.00 custom, but your arrows are mismatched and none of them built to shoot from the bow in your hands and it will never be accurate with those arrows.
I started with an old Shakespeare trident many years ago. Had a tweeked limb, till I learned to straighten it and I was never really good with it until I met an archer. He made me a set of arrows that were right for the poundage of the bow, at my draw length and I actually started getting pretty good at hitting a target at 20 yards.
There are probably several here that have a used bow to sell, unfortnately I don't, that would be a good beginning shooter for you. Something you do not want to do is overbow yourself. Starting with a bow that's 30-40 pounds would be a good starting point. You will need to get your draw length measured. An easy way to do this is to get a yard stick and stand up against a wall with your shoulders touching the wall. Place the yardstick 1" side, center of your chest and pointing away from you and keeping your shoulders against the wall, stretch both arms out fully, with your fingertips extended and grasping the yardstick. The number on the stick at the end of your fingers will be very close to your draw length. Once you know that, you will be able to shop for a bow that will have the correct weight at your draw. If you have a very long draw length, say from 30" and up, you might have a problem finding an older bow that will work for you.
When searching for a bow, some questions to ask would be are there any signs of delamination (glue in limbs coming apart)? Any cracks? Twisted limbs? Has the seller shot the bow? Is he the original owner? Condition of string and shelf? etc.
As for making your own bows and arrows, get the bowyers bible. There are 3 books that make up the set.