After a painting has dried and I need to change the background, I use a Q-Tip with a bit of Liquin to wipe away the wet paint that I may have brushed too far into or over areas that was dry. Also, I use this technique during a painting session if I need to rub off a small area. Plus I use the leftover Liquin on my palette to remove the wet pigment out of brushes, and then I clean them as discribed earlier.
After I pinch out most of the oil paint with a rag, I clean my brushes in baby oil. I use a plastic container to hold the baby oil and a metal mesh drain catcher. I drag my brushes across the metal mesh after dipping them in the baby oil that is at the center of the metal mesh (See pic below).
Then I wash the brushes with Dawn dish soap (Dawn works the best) and luke warm water, massaging the bristles between my thumb and index finger.
After the brushes have air dried, I might use a small amount of petroleum jelly to shape the bristles. But I will wipe off the petroleum jelly before painting.
If paint has dried on the bristles, I will soak the brush in Ivory Soap goop which is made by breaking a bar of Ivory Soap into small chunks into a jar and then adding a third of water to break down the soap into a jell. I will soak and clean the brush until the brush is usable again (I credit Dave "The Painting Guy" Darrow for this tip).