Well if you have the old phone, and it still works, you can connect that phone to a computer via USB cord and move all the photos and any other files over to an empty folder on the computer. Then disconnect that old phone and connect the new one to the computer, again via USB cord, and copy them over to the new phone.
Or you can leave them on the computer (or at least copies of them) so that you have more room on the new phone and have backups.