Multiple product type with the same categories, trying to make good categorized content with categories and views.

Hey guys!

I've searched a lot inthe forum, doc and google but after 3 hours I've never been able to make it work and I'm asking for help Because I'm short in time to finish this website.

I'm a little lost / confused with managing, structuring and showing my website content with categories and views. Here what I wanna build in the most simple and clean way possible :

1- I got 3 type of products on my website: Product, Promotion and Liquidation.
2- I want any product created being able to be categorized like: piano, battery, guitar, violon, etc.
3- In my primary links I've putted those 3 type of products (Product, Promotion and Liquidation) then when we are clicking on one, I wanna show the listing of the catgory products (piano, battery, guitar, violon, etc.). After clicking on a category we see all products related to the product type and the category.

ex: I can go to Product > piano > all products are listed
ex2: I can go to Promotion > battery > all products are listed

My big problem is that I do not want to create 3 times the catgories : piano, battery, guitar, violon, etc. like the only way wich I see working for now... and the best that I've done is listing ex: all pianos products, but it doesn't separate them by product, promotion, liquidation ...

I've tried to make it work with Views:arguments, View listing with filters but I don't want to create a view for all the categories, it'll be like 30 views .. ouf !!

so... I hope you can help.

here are my configs:

drupal 5.1
category 5.x-1.1
Views 5.x-1.6-beta5

tx