Good grief, stainless steel frames and wire? That will cost a fortune. Did you notice the MIMIMUM order on the link to stainless wire was 200 rolls?
I built an aviary last summer. It was lots of work but so worth it. I built the frame from wood and covered it with GAW wire (galvanized after weld). The wire was treated with vinegar water then rinsed and set in the sun while I worked on the frame. It took me a couple months to build because I did most of it myself.
None of your parrots, OP, will chew through the wood framing on the aviary I built.
I considered buying a carport frame and covering it with wire because I've seen aviaries constructed that way. I also considered steel tubing but affixing the wire to the steel seemed too complicated for me.
Finally I decided on a connector kit which was intended for a storage shed, small garage or green house. I bought a kit that has aluminum connectors which did bend quite easily. If I were to do it again I would buy the e-z frame connectors:
[ame="http://www.amazon.com/gp/browse.html?ie=UTF8&marketplaceID=ATVPDKIKX0DER&me=A1MU5PC8RJ41WX"]E-Z Frames @ Amazon.com[/ame] They are made from a composite material and likely won't bend like the thin aluminum connectors I used.
You buy the lumber from a local home depot or lumber yard and put it in the connectors to create this:
I will post some pictures of my finished aviary below.