Checkbox fields not only boolean

Can we have the option for checkbox fields, but be for be multiple options. For instance, the search for ‘small’ dogs, might not yield enough results so one might search for both small and medium sized pets. Is this possible?

Basically, I’m looking for ways to filter the results better: https://screenshots.firefox.com/VK3vJLELmaNkQheY/barkingmad.co.za