Can someone tell me all the parts I need? I plan on using a complete upper but I even need to know the best/cheapest place to buy it and the other parts.
Thanks,
You
can just buy a "Rifle Build Kit", everything needed for an AR except the stripped lower, magazine, and sights, but that means you have to like the components in the build kit enough to take the package offered.
Palmetto State is a good place to shop for an upper if you aren't in any hurry. Editted to add - some PSA uppers come with a bolt carrier group (BCG) and charging handle (CH). Some don't.
The Lower
Receiver - you have it.
Lower Build kit - this would have all the parts you need to complete a lower. It will be composed of a Stock Kit and a Lower Parts Kit (LPK).
LPK - This will be all the parts for your lower except the parts involved with the stock. Unless specified, it will include a trigger and hammer, and a pistol grip.
You can buy a LPK without trigger and pistol grip from lots of places, but the discount for that missing part is modest. I think Midway has one for $25 now.
Stock - carbine or rifle?
I like rifle stocks, which take a different buffer tube - also called the receiver extension, but I am a normal height fellow. Unless you wife is quite tall, she may prefer a carbine buffer tube. There are dozens of choices.
Magpul has a fixed carbine stock for about $30.
An AR isn't so much a rifle as a broad set of parameters for the sorts of parts one can fit together. Which specific parts you or your wife will like is largely a matter of taste. The good news is that you've hit a time in the market that offers good quality at low prices.
Choices include barrel length, profile, composition and surface treatment or lining, handguard type, pistol grip (I think the A2 is excellent and has the virtue of being almost free), stock type, buffer weight, and trigger.
In the current market, I think I could build something pretty good (durable and accurate) for around $600. I think I could get together something with acceptable utility for less than $500.
I have no interest in pressing my preferences on you, but if you have more questions or want a more specific build list, I am happy to offer suggestions.