Welcome joannakat
The good news is all your plants cohabitate really well together as far as soil, moisture, light and drainage goes. And it's great you're about to rebuild your garden now so the soil stabilizes and settles in a little before replanting the bulbs, etc. Your plants will reestablish themselves faster and overwinter much better than with freshly dug, fluffed up soil.
Prepare yourself to make as few mistakes as possible with bulb and plant ID. prior to moving anything. If anything can mix things up any worse than a monkey, it's a human being. I'd suggest getting a 5 gallon bucket for each type, color, name, etc. of everything. And use these buckets to temporarily store your bulbs in---covered with dirt, of course.
Everything you have can be dug now, even your lilies. If your lilies still have green leaves, dig as a clump and keep as much soil on the root ball as possible during the storage process. Store all your buckets of bulbs in a cool place in only slightly damp soil and protect from rain. When it comes time to replant your lilies, cut the stem, do not pull it out of the bulb. If you look at the stem, you'll see a 'soil line' that tells you how deep the old bulb was previously. Replant to about the same depth. Water all you bulbs in really good immediately after planting. It is not necessary to fertilize with Fall planting. Fertilize next Spring. And, don't forget, mark and label everything.
