Hello bcolyear - welcome to the Sony Forums 
This is indeed frustrating for owners of Apple devices. Recently, I have started using CineXPlayer on my iPad to increase the range of playable videos on the tablet. I find that this handles a lot more than the native video player on the iPad so you may wish to experiment with this app.
Having said this, the actual file transfer process for iPad nearly always needs to be carried out using a PC or Laptop. The advice about suggesting this on the apple forums is spot on 
Thanks,
Simon