If you prefer not to use chemicals, thinning the plants to improve air circulation will help, as will pulling mulch away from roots and stems. You can, however, move them anytime during the growing season. Check for rot or borer damage and discard these pieces. Replant leaving 18 to 24 inches between plants. Iris rhizomes should be just barely covered with soil.
Plant daylilies the same depth as before.
Water the transplants thoroughly to get them off to a healthy start. At the end of the month prune raspberry bushes, waiting, of course, until the harvest is over. Prune out the old canes to make way for the new ones. Do not fertilize at this time as this encourages new growth that will only be killed by fall frosts.