How to add product categories for different products?

I'm working on adding my products and I have three categories I'd like to add- cake toppers, party banners, and photo party props.

Within those categories I want sub categories: 

Cake Toppers

-Birthday cake toppers

-Anniversary cake toppers

-Baby shower cake toppers

-Engagement cake toppers

-Bridal shower cake toppers

-Wedding cake toppers

-Graduation cake toppers

-Retirement cake toppers

Party Banners

-Birthday Banners

-Bridal Shower Banners

-Bachelorette Party Banners 

Party Photo Props

-Number props 

-Object props 

How do I do this?  Currently all the products are located on one "page" and I want to break them up to make it easier for my customers to find them.

Hi dulceparties, 

Considering what you are trying to achieve here you may want to organize your products in categories and tags and then eventually setup links on your site to these categories and tags. Squarespace has a help article on organizing products on your site with great tips on this matter, which I'd recommend that you have a look at:

Organizing products

For any further questions you may have with organizing products on your store, you can reach out to the Squarespace Customer Support team for personalized support anytime.