Cleaning up after you have finished every coat of paint is time consuming and really unnecessary. A few years ago I was taught that wrapping your brush in plastic wrap stops the air getting to the paint and therefore it doesn't harden. You only need to clean your brush at the end of the job.
Whilst hunting for some suitable wrap I realised I was already wearing it!

Step 1: Using Gloves.

Since getting hold of a 100 pack of disposable gloves I've been using them to keep my hands clean(ish). They work really well for painting!
So, if you hold the brush in the palm of your hand.
Using the other hand pull the wrist over the brush and your hand out of the glove.
The bristles should be covered by the glove.

Step 2: Wrap It Up

Flatten out the bristles and push put as much air from the business end as you can.
Then twist the wrist and tuck it in to the handle.

Step 3: Enjoy the Rest of the Day.

With your brush well wrapped up it should be fine until you need to pick it up again the next day. So you can relax without the need to scrub your hands or brushes.