Well, I moved a lot of daffs, Lycoris, Colchicums last summer from my old place to my new one--from the sandiest soil ever to the heaviest clay ever. Fertilized them at replanting. The Galanthus were quite short and bloom was poor--surprising with such tough bulbs. The little Hawera daffs now in bloom are stunted also.

Seems as if regular fertilization is really needed.

I also never fertilise in ground bulbs. The problem might just have been the moving and adjustment to different soil. Fertilising wouldn't help with that. Galanthus take a while to settle after transplanting, especially if not moved in the green.

Galanthus were moved after flowering when foliage was dying back.

Hopefully, all bulbs will settle in by next year.

I don't fertilize ground plants at all, beyond compost and occasional compost tea.

Not sure they need much fert as others have said. Too much fertilizer could even hurt them.

Edible Onion bulb growers usually say fertilize early for green growth and roots and stop fertilizing when they bulb up. Garlic growers say fertilize in Fall or early Spring.

I fertilize with a granular fertilizer as I see the sprouts and know where the bulbs are. If I want to fertilize later I'll use a water soluble fertilizer only because my thinking is it will reach the root zone faster especially if there's not much rain.

You'll figure it out soon enough if they need fertilizer in your new garden, I'm sure as you improve the soil there will be less of a need.

Also with that heavy clay make sure you don't plant them as deeply.