Personally, I always tend to use a DSLR camera, worth spending some money on a decent one with interchangeable lenses if photography is your thing. I used my phone for fast moving shots, say if you just get 30 seconds at a location before the storms catch up.
Agree with Mark, that a decent tripod for a digital camera is a must, think mine was £35, and it's pretty nice, my first one was $10 from Walmart in Fort Stockton, and it lasted a couple of years of light use, but fell apart during a massive lightning storm - gutted!
Also, make sure your good are covered by insurance, I now use Protect My Bubble and for sub £8 a month, my camera and lenses are protected - which includes damage while away from home and on holidays! Well worth the money!
Mike.