Need help with creating custom search results for a category

Hi, everyone, I’m stuck and I need help ??

I have a wp site, lets say it is real estate listings. I have a category “rent”.

• I want to have a date filter on this page (a dropdown with today/this week/this month/pick a date range). If I change the filter, I want an ajax update of the search results.

  I want a list of results to look like a number of days till rent is over, a picture of the flat, and a description from the custom fields of my posts.

  I want to prioritise the search results with weights. So that paid posts showed higher, then others.

Could you pls help? I guess there should be many plugins involved, but I can’t find the right ones.

Thanks in advance!