You can use Photobucket or Photobucket Mobile to post photos on AA. When you get to the photo that you want to post, just copy the IMG code and paste it into your post here on AA. The image will show up in your post.
As for Tapatalk, no, this forum is not on Tapatalk. You can get the free Aquarium Advice app from Google Play or from Apple's App Store, or if you have Forum Runner, that will work too.