So you don't want to pay a professional, so be prepared for a finish that won't necessarily match your existing finish. With that said, do your homework before attempting this project. I recommend purchasing a book or two with plenty of illustrations on the proper application techniques.
All I can give you here is an overview of the mechanics and materials involved, and equip you with some "terms of the trade", but 1500 words could not communicate the technique skill and experience involved in a quality stucco application.
The framing behind your stucco finish can be open or closed, although a "closed" plywood sheathing is probably easiest to work with. The surface of the sheathing, ideally, will be flush with the surface of your foundation. Next should be a 26ga galvanized metal screed overlapping the seam between the bottom of the sheathing and the top of the foundation. This should keep water directed out of the bottom of the finish, preventing penetration and seepage into the wall. Over the top of the screed, and covering all of your sheating will be a Waterproof building paper or felt. (This is unlike ordinary construction where you would desire a breathable product like tyvek) Unlike some other building materials, stucco is porous and water goes right through it. Over the paper is metal reinforcement, (typically wire mesh like chicken wire) This should be nailed through the sheathing directly into the studs behind it, as stucco is very heavy. The nails should be furring nails. All laps in your chicken wire should be 6", and nails should be 6" oc.
For the actual stucco finish, it is applied in 3 coats. The scratch coat, the brown coat and the finish coat. Each coat must be allowed to set partially before applying the next coat. The total thickness of the three coats will equal about 7/8" thick, so keep this in mind when selecting your plywood sheathing so the finish coat comes out at the same surface elevation as the existing wall.
My fingers are getting tired, here, but this will give you a start in the right direction. Get some books and videos.