Tris’ advice is good, use the trowel to lever gently, each bulb. In moist weather they may pull out without a trowel, because you are harvesting before the end of June, not in July or even (as sometimes advised!) in August.
So tops are quite green at harvest, meaning you get a good pull of the bulb, needing less loosening.
I would not use a fork to loosen the soil, that breaks many fungal threads.
