I got this when I googled toberose:

Just before frost dig up the bulbs, cut off the tops to within 2 inches of the apex of the bulb. They may then be placed in shallow boxes and left out in the sun and air for a week or more, to cure. Each evening, if the nights are cold, they should be removed to some room where the
temperature will not fall below 40°. When the outer scales have become dry, the remaining soil may be shaken off and the bulbs stored away in shallow boxes for the winter. They keep best in a temperature of 45° to 50°. It should never fall below 40°.

Hope that helps!
Patty

Thanks Patty! I practically live on google- now why didn't I find that? LOL