I usually put a layer of damp flanellette on a styrofoam tray, put a few seeds on it, cover with another layer of cloth, etc, then a second styrofoam tray, and slip the sandwich into a plastic bag, which I fold underneath - no seal. This way, I have the big gourds on one layer, then winter squash, summer squash, slicing cucumber, pickling cucumber, each on a different layer. Cukes on top, as they germinate fastest; usually within the week.
I have to remember to check them often, because once the roots are out, they soon get mouldy, and also break off easily when I remove them from the fabric to the seedling soil. Big squash seeds, I stick into soil as soon as their tiniest white nose pokes out.