What is the difference between traditional atheists and conceptual atheists?
These are descriptions usually given by religionists to try to describe our atheism. We do not wear labels well. Atheists may have different philosophical directions, but no name tag is needed.
The labels given to atheists (traditional, conceptual, new, militant, hard, soft, etc.) are mostly developed by theists to explain their views of atheism. The terms are not accepted (or rejected) by atheists as they have no central governing body, council, book of mores, procedures, traditions, or positions. Atheists are a lot of individuals finding their own way.
What is the difference between modern methods of classification and traditional methods of classification?
The difference between a modern office and a traditional office is the amount of technology that is present. A traditional office might have had a phone, a desk, typewriter, Dictaphone, and a filing cabinet. The modern office has computers, printers, copiers, cell phones, and other advanced technical devices.