How to create a view with contextual filters and then make menus to filter it?

I have created a content type that I want to list and filter on taxonomy terms.
For example I want to show all posts of that content type on the frontpage. Then I want to be able to create menu items with name of all the existing taxonomy terms I have to choose from. Then i want those terms to link to a page with the filtered content for only that term.

I can create this by making a new view for every taxonomy term but it must be a better way to do this since if I have around 40 terms it’s gonna get really messy.