Make sure to water your Anthurium thoroughly, but don't water it again until the top inch or two of soil has dried out. If the soil gets too wet, the plant will not tolerate it and will die.
Your Anthurium will do best in bright, indirect light. Try to keep it out of direct rays of light, as this can scorch the leaves. If the light is low, the plant will not grow as well and it will be less likely to flower.
This tropical epiphyte will appreciate a boost in humidity. If the conditions are very dry, it might lead to browning leaf tips.
Anthurium generally prefers temperatures above 60°F, but will still thrive in warmer temperatures. Keep in mind that some fluctuation into slightly cooler temps at night and in winter (only a couple degrees cooler) will encourage your plant to give you plentiful blooms!
Anthurium leaves are mildly poisonous to pets and humans. If ingested, it will cause mouth and stomach irritation along with vomiting in some cases. Some people experience skin irritation when handling the plant.
Since Anthurium grow in dense clumps, you can always divide these into multiple plants when repotting. You'll simply pull apart the roots into your desired clumps. Or, if a bit rootbound, you may need to cut them apart. You can then pot each one up into their own appropriately sized vessel. If you'd like to propagate without dividing your plant, you can also try a stem cutting. You'll need to take an apical stem cutting (the top of the stem where there is new growth). Try to cut a decent section with 3-4 leaves and cut just below the lowest leaf. Remove the lower leaves to ensure a clear stem before rooting in water or another medium. Once the roots are a few inches long you can pot up your new Anthurium! It may take about a year for your new plant to flower.