I'm curly too. (but I rarely wear curly anymore)
Usually sleek curls are the result of blowing hair straight, a flat iron and then a curling iron. That first picture is definitely styled with a curling iron.
If you can blow your roots to middle shaft straight, and then curl the ends on a curling iron you can get a nice tamed looking curl.
Those bottom two pics could probably only be reproduced by a stylist, as it's just too hard to get at all 360 degrees of your own head.