Maybe something like this, with a couple of mesh cups (like what you find in the office supply section) to hold your silverware?

https://www.amazon.com/XIAPIA-Magnetic-Organizer-Refrigerator-Kitchen/dp/B082KMTDFS/ref=mp_s_a_1_6?crid=3LY9JEPTGN4EG&keywords=magnet+fridge+shelf&qid=1640995899&sprefix=magnet+fridge+shelf%2Caps%2C124&sr=8-6