Get results from FORM - CMS in a result page

Hello there and hope you can help me.

I am trying and having difficult time into builing a function in my website.

Basically, I want a website where people can make a search on the homepage throught a form. After submitting the selected parameters, the users will be redirected to the result page where they will get the results based on the paramters selected.

The parameters are categorized inside the CMS and I do not know how to get the information from the collections onto the result page. What to use, in order to filter these?

I don’t know if using Algolia can be used in this case.

Can you give me a hint or help me with this?