Problem 1:
I'm using WooCommerce on a WordPress and it adds product-category to the URLs.
domain.com/product-category/accessories/dishwashing
I need to remove 'product-category' from the URLs. Is there any way to modify the permalinks and remove them?
Problem 2:
Also, I want to change the permalink for the product.
Current url for product "Active AirClean (SF-AA 50) with TimeStrip" is:
http://www.atimiele.co.uk/products/filters/active-airclean-sf-aa-50-with-timestrip/
I have a category structure for the product is:
accessories > floorcare > filters
So the url for the product shoud be
http://www.atimiele.co.uk/accessories/floorcare/filters/active-airclean-sf-aa-30-with-timestrip/
I believe that what you are trying to achieve is not possible with Woocommerce. My colleague tried to change this as well a couple of months ago without any success. If you do want to remove the slug from products+categories you can use a plugin. There are several plugins available, i don't know if I im allowed to post it here, but we used the Perfect seo url plugin for woocommerce. www.perfectseourl.com Although it costs a lot of money, it was a good choice.
Typically it will solve both of your questions. I would recommend not using too many 'subcategories' in your url structure. Try to use maximum 2 subcategories, for SEO reasons. Google will index only 3 levels.
Good luck!