Whenever I make chocolate chip cookies, I use the usual ingredients: flour, chocolate chips, sugar, brown sugar, etc. However, I also am sure to include baking soda. It helps to create some "lift" in the cookie and it helps with the predicament you are explaining.
Another way to ensure that the cookie does not become flat and dull depends on how you scoop the cookie onto your baking surface. I use a small ice cream scoop so I have the same size cookies. Try going to Crate & Barrel, Williams Sonoma, IKEA, Wal-Mart, Target, or other places to find a small ice cream scooper. It will come out in the shape of a small ball and will spread evenly without getting too thin, frail, or even creating a hole in the cookie.
Good luck and best wishes with your cookies - I'm sure they're yummy either way!