I have moved hyacinths at all different times, except perhaps when they are in bloom. They seem to take a lot of abuse. My yard is full of them now, after I received a few bulbs from a good hearted, crotchety neighbor of 95+ years, who came over to my yard one day, 20 years ago and thrust a few bulbs at me, saying, "Here, plant these." I keep dividing them and now have dozens of clumps to complement all my spring bulbs, primroses, and lunaria (silver dollar plant.)

You might want to just get yours right in to the ground now. You won't have to worry about storage conditions, or forgetting about them. They will send up some growth toward fall.

Good luck to you and your new rose bush. Happy Spring.
Hepatica

If you don't know where you want them to be transplanted to yet, just pot them up as you would summer annuals outside. Don't put them in the basement. Water them, they need to finish feeding through their foliage until they go dormant later. As the foliage begins to yellow and die, stop watering, let the pot dry, then put the pot in the basement. Replant this fall. They will put out fresh foliage this fall and will be semi-evergreen over winter.

If you can, plant in August, or even late July. They start into root growth often long before other spring bulbs, and are sending up leaves well before the first frosts.

If you are planting directly into the ground then they should be cool enough. They can take a lot of heat.

And don't spoil them with good feeding. They just put out tonnes of leaves... :-(