Advanced sorting for gallery or portfolio

Hi All. Please help or point me in the right direction.

Currently, you can sort by either Category or tags. How do I give user multiple options to filter by 2 or 3 categories or tags?

I have a portfolio of items that have variables of 5 colours and 2 sizes. I need a sorting facility that will let user choose colour and thickness to display items that match that criteria.

Thank you.