I think you may be confusing technigue with what look you are trying to achieve. All the things you have mentioned are different items that achieve a different look. What is it you want ? All painters have thier own technique of achieving those looks. For example I can tell one guys sponging from another by thier different techigues each one uses.
house doctor, just looking for painted walls? Latex paint, 2" brush for cutting in the ceiling, mop board, windows, doors, switches and outlets, 9" roller with a 3/8" cover. Two coats are better than 1. Have fun, Mick.
The most effective method of painting with a roller is to paint 2-or 3-square-foot areas at a time. Roll the paint on in a zigzag pattern without lifting the roller from the wall, as if you're painting a large M, W, or backward N. Then, still without lifting the roller, fill in the blanks of the letters with more horizonta