Answer
In the Name of Allah, Most Gracious, Most Merciful.
All praise and thanks are due to Allah, and peace and blessings be upon His Messenger.
In this fatwa:
There is no basis for saying that one must say bismillah (in the Name of Allah) three times over nails or hair before throwing them away, otherwise Satan will use them.
Regarding your question, Sheikh M. S. Al-Munajjid, a prominent Saudi Islamic lecturer and author, states:
There is no basis for saying that one must say bismillah (in the Name of Allah) three times over nails or hair before throwing them away, otherwise Satan will use them. It is also not correct to say that they must be buried. The hadith narrated concerning that is very weak.
It is permissible to throw fallen hair or nails in the garbage or down the drain or to bury them. If a person fears that they may fall into the hands of those who practice sihr (sorcery), then he should dispose of them in a place where they will not be able to get hold of them.
Allah Almighty knows best.