Design: can I register the look of my product?

Design registration protects how a product looks, not how it works. It must be new, and it is lost if you show or sell the design before filing.

Moderate complexity - several routes or missing facts

It must be new or original, not previously disclosed anywhere, and significantly distinguishable from known designs (section 4).
A design is registered in one class (section 5(3)) and is registered as of the application date (section 5(6)).
Protection lasts ten years from registration, extendable once by five years (section 11).
Mark products as registered: without marking, damages for infringement may be limited (section 15(1)(b)).
Copying for sale is piracy (section 22). Anyone interested can petition to cancel a registration on grounds such as prior publication (section 19).
If a registrable design is not registered, any copyright in it ends once the article has been reproduced more than fifty times by an industrial process (Copyright Act, section 15(2)).

The honest answer usually needs someone to look at your actual disclosure, your timeline and the prior art. That is a conversation, not an article.