How can I limit search suggestions to specific collections for customers?

I tried looking through all the previous questions but no answers were clear. I want my search box to just show the 4 (or whatever #) of collections for my customers. From those 4 they are directed to the 20 products in each of those collections. I thought it was pulling up the tags so I went through every product and deleted all the tags hoping that would help. It did not. It seems to be adding descriptive words too. Can anyone tell me how to narrow down the search suggestions for my customers please.

TIA