Both your plants can be grown successfully in normal home environments. The Anthurium is hardier and more forgiving of watering lapses than the Fittonia.
The Anthurium is probably potted in a more porous potting mix and can afford to dry out a bit more than the Fittonia that should be watered thoroughly a soon as the top surface of the soil feels dry to your touch.
The Fittonia should be protected from direct sunlight at all times. The Anthurium will do fine with a couple of hours of direct sun each day, but indirect light for most of the day. Close to a south window may expose them to too much sun.