What would be an easier way to put my pictures from my d5200 to my iPhone?

[AWBoater]

Option 1; buy a Nikon Wu1a wireless adapter ($55), which will allow you limited control over your D5200 - including live view on the iPhone, taking a photo, and downloading photos directly to your iPhone.

http://www.amazon.com/gp/product/B007VGG...projcom-20

I have one of these that I can use on both my D7100 and P330. According to the Nikon website, the Wu1a should be compatible with the D5200. There is also an almost identical Wu1b, but it is designed for different cameras such as the D600. At any rate, search on YouTube for Wu1a and you will get an idea how it works. Very worthwhile investment if you need to share your photos.

Option 2: buy a CamRanger ($299) which gives you full control over your camera from your iPhone.

http://www.amazon.com/gp/product/B00AA47...projcom-20

This is probably overkill for your needs, but you should be aware of it's existence. It is kind of like a super-Wu1a.