Keep in a bright, indirect light, warm environment
 
When watering use room temperature water that has been sitting for a bit. Water when the top layer of the soil is dry to the touch.
 
When (re)potting use a pot that gives roots a little room to grow. Choose a pot with holes for drainage. Use a nutrient-rich houseplant soil mix.
 
A baby plant will eventually sprout alongside the mother plant. Use your fingertip to gently remove the baby from below, place in water, and then pot it.