Doing an advanced search

I’m trying to create a site of holiday cottages, bed & breakfasts, etc and would like to make an advanced search so, for example, a user could say they want a cottage in somerset costing between ￡300-￡550 per week.

On my site, they can do searches on each of these things seperately, as you can see at https://cottages.eng.gs. However, I’d like to be able to cut it down to the example above.

Is there a simple way to do this?

Each of the sections, such as a cottage, somerset and the price is listed as a different category, so each location would have all the info by having the correct categories selected.

Something with drop-down menus to select the available categories would be perfect.

Thanks :o)