Next, spray your potting soil with your filtered water until it's very moist. It should look somewhat like the photo below. You are getting the soil ready by letting it compact itself by absorbing the water. This way, you don't have to keep adding and adding soil later when you realize you don't have enough after you water. And you won't have to add even more water later. It's a win-win situation.
Now, take you first plant and gently hold loosely onto the base of the stems coming out of the pot. Use your other hand to squeeze the sides of the pot as you turn it slowly while doing so to ease out the plant. The less stressful you are to the plants now the less jarring it is to them to become accustomed to their new environment.
Hold your plant over your container and gently tease out the soil around it's roots. You don't have to get out all the soil but enough to be able to spread the roots out in it's new home. If you have a plant that is "pot bound" (a twisted root ball), teasing may not be enough. You may need to cut into the ball about half way and pull a bit to spread the roots.
Do the same with the rest of the plants you may have and place your plants in an aesthetically pleasing arrangement within the container.