Then put them back!

I'm guessing the repairs, etc. are overwith. I'd replant them now thinking they have a better chance in the ground than drying out in a bag in the garage for a few months.

I imagine it's hot in New Jersey, but I'd prepare the space, put them in and water well to get them restarted. Iris rhizomes and lily bulbs are pretty resiliant self-contained little units - at least for the short haul.

I do expect someone to offer a different perspective. :-)

For iris, you aren't all that far off from when they should be dug and divided. If you don't already know, research how it should be done, keep the rhizomes in a (relatively) cool place, and do it. No rush, but peak dividing time is late July/early August, so plan on getting it done.

The lilies are going to be more problematic. Their dormant time is winter. I'd get them back in ASAP, water well, and hope for the best.