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Most resources say watering depends on the variety of Kangaroo Paw that you have, as some types are more drought tolerant than others. That being said, the majority seem to agree that these plants should be kept somewhat on the dry side, then giving it a good soaking (make sure it has good drainage) and allowing it to dry out some between waterings. Generally, self-watering pots keep the soil more moist (at least in my opinion), so I wouldn't use one for this particular plant BUT that does not mean you cannot. It's really up to you. As long as you keep an eye on the plant and ensure that the soil does not remain too wet, it should be ok.

Do a Google search for 'kangaroo paws in AZ'. I was able to find several sources that you could purchase from when they are in season.

Also you can try Ebay. They can be a good source of more unusual plants.
Make sure you verify the sellers ratings.

A Google search can locate sources for you that should be able to ship directly to you.

Ebay is also a great source for plants and seeds that may not be as easy to locate locally.

Here is an article with growing information.

https://www.gardeningknowhow.com/houseplants/kangaroo-paws/kangaroo-paws-houseplant.htm

Kangaroo paws prefer slightly acidic soil, so you'll want to ensure that not only was the original soil divided evenly between the two plants but that any new mix matches the the composition of what the plant originally thrived in (in other words, make sure the new soil is as close to the original soil makeup as possible). If you relocated the two plants to a different location with different sunlight situations, that could be stressing it out as well. If you have a drought-tolerant variety and you gave it a healthy drink of water after you split it (when it's not used to that much water), it may have thrown it into a bit of shock. If that's the case, let it dry out just a bit (and make sure it's not getting sunburnt) and wait. It should recover, even if very slowly. Make sure the soil, sun and water situations aren't too drastically different from what they were before you split the plant and check it for pests such as spider mites. Here are some articles that may help you:

https://www.gardeningknowhow.com/houseplants/kangaroo-paws/kangaroo-paws-houseplant.htm

and

https://www.gardeningknowhow.com/plant-problems/pests/insects/spider-mite-treatment.htm

Cut the stems that have faded down to ground level.

https://www.gardeningknowhow.com/houseplants/kangaroo-paws/kangaroo-paws-houseplant.htm

I located these links for you with help with care and pruning.

https://www.gardeningknowhow.com/houseplants/kangaroo-paws/kangaroo-paws-houseplant.htm
http://www.abc.net.au/gardening/stories/s4218229.htm