Welcome Tree. You are on the right track to build a great bird for taking great video and pictures but you have a lot to learn and research. I would go with a GoPro 3. I have a black but the white would certainly work very well too. You want to add a Zenmuse gamble for the GoPro. No you won't be able to use a phone or ipad with the P2nv (non vision). I would start out with a monitor and not goggles. Do a lot of reading about using goggles before adding those to your setup. It really helps to have another person with you to always keep an eye on the bird so that you can watch the monitor and not worry about losing the your bird into tress or a building.
I wouldn't worry about special long distance antennas for awhile. Learn to fly your bird in a big open area first and get use to the controlling the bird as you shoot some video while watching the monitor. The great reason for thinking DVR is to capture the iSOD data if you add a mini iSOD to your setup. I would if I were you. So much great information is overlaid over your camera video like altitude, battery level, horizontal distance from you, etc. I would figure on at least a $250 to $350 for all of your FPV setup.
Like I said, go slow with everything. Even take your bird out with a friend and just get use to flying it around (away from trees if you can) with a friend looking on with you. You can actually have a lot of fun even before you get the camera and everything else going. Of course be sure to keep you bird within your line of sight. I think that Fox thingamajig with the DVR built in sound great. I wish I had one. I like my black pearl but I've been wanting to add DVR.
Oh, I started to say you only need the DVR to record and go over your flight statistics. You don't need it for the video or photos you shoot. You just pop out the SD memory card from the GoPro and pop it in your computer to watch the what you shot. I do that right away after my flights, copying the data to my computer and deleting the files from SD to keep it empty for my next flight. Incidentally, don't think that you'll only use that GoPro on the Phantom. It makes a handy little camera for a lot of things including some selfy stuff with it mounted on a monopod.
Don't forget to do some searches on YouTube for Phantom Non Vision. You'll find a wealth of information on there plus you'll get to see what some people have done with the setup you're building. Sorry to be so long winded but I love to try and help newbies from making some of the mistakes that I made.