Don´t expect anything and anything that happens is welcomed, you mentioned one of the beds gets more sun, that´s enough to cook some bulbs if you ask me, I know it from experience.

My garden is oriented SE-SW, any tulip or daffodil bulb I plant on the right side of the garden is going to die, I have to plant those bulbs on the left side of the garden, while the bulbs planted on the left side only get a few of hours of direct sunlight by mid day the are shaded by the walls while anything planted on the right side of the garden gets cooked because it gets direct sunlight almost all day long, and what´s worse, gets sunlight during the hottest hours of the day resulting in dead bulbs due to overheating. My heat loving bulbs ( dahlias, amaryllises, ixias, babianas, tuberoses ) are alaways planted on the right side of the garden for the same reason.