Vermin refers to various small animals or insects that are considered pests and can cause damage to property. They are often associated with carrying diseases as well. In this sentence, the word "not only" indicates that there is another action or consequence that vermin are responsible for, in addition to destroying property. The word "but also" introduces the second action or consequence.

Explanation:
- Vermin can destroy our property: Vermin are known for causing damage to property by chewing through materials, such as wires, insulation, and wood. They can also cause structural damage to buildings.
- Vermin can carry disease: Many vermin species are known to be carriers of diseases that can be harmful to humans. Examples include rats and mice carrying diseases like leptospirosis, hantavirus, and salmonellosis. Insects like mosquitoes are also considered vermin and can transmit diseases such as malaria, dengue fever, and Zika virus.

Conclusion:
The sentence implies that vermin not only cause damage to property but also pose a health risk due to the potential transmission of diseases. It emphasizes the negative impact that vermin can have on both our physical surroundings and our well-being.