Run a knife around the inside of the pot containing the cypress and then gently remove it from the pot. Avoid tugging on the stems any more than necessary.
Cover the drainage holes in the bottom of the new pot with a sheet of newspaper. Add a layer of soil on top of the newspaper. The soil should be deep enough to support the plant at the proper height. The soil line, or the point where the above- and below-ground parts of the plant meet, should be about 2 inches below the lip of the pot.
Place the plant in the pot and fill in around the sides with potting soil, pressing gently with your hands as you go.
Water the plant until some of the water begins to seep out through the drainage holes.