One more photo.

There are a number of diseases that can infect Peonies and the best way to identify them and find out about treatment is at your state universities Cooperative Extension Service office. Put a sample of affected leaves in a sealable plastic bag before taking them there, however.
This link may be of some help.

Here is a link that might be useful: Peony diseases

where are you Vi??

in my MI.. right now.. that is a peony.. going dormant.. cut the leaves off.. throw them away.. leaving 4 to 6 inch stalks.. so you know where it is come spring...

we do NOT treat leaves that have been going dormant for a month ...

in the alternative.. leave it all there ... and cutback in spring ...

the first pic doesnt look like peony .. but same thing.. on most perennials... its time to 'cut them back for winter' .. or leave to do that until spring.. but NOT time to spray.. or worry ... [hydrenga?]

peony is a long lived perennial root ... they are not bulbs .... FYI ....

ken

ps: your peony stalks looks a bit short [there shouldnt be leaves at soil surface] .. and that is either because they are very young.. or it might be.. because they are planted to deep .. we could discuss that in the perennial forum ...

In my limited experience with peonies back in zone 6, they tend to look terrible this time of year. Like Ken says, just accept that they're done and wait until next year.

(Yeah that first one does look hydrangea-ish and I don't have clue what is going on there but it'll probably die back soon and be fresh in spring too. But the peony looks like a normal end-of-season happy peony.)

Taking care of any plant disease now will help limit the chance plants next year will be infected. Doing nothing now, even if learning something about plant diseases, means having plants that are diseased the next growing season.
Now is the time to have soil tested, so any corrections can be made so they are in place for the next growing season.
Now is the time to clean up diseased plant debris and feed the soil to try and make that soil into a good healthy soil that will grow plants that are less likely to have diseases.

The first photo is definitely NOT a peony. Not sure what's up with that but the remaining photos look like peonies at the end of the growing season as previously stated - perfectly normal and nothing wrong with them that you need to address.

Share some other photos of the first plant and maybe we can get a better ID for you and then address what might be going on. It DOES look a bit hydrangea-like but not convinced that's it. But not a peony :-)

Just so you know.......a good healthy soil - which any gardener wants to have - is no guarantee against disease-or pest-free plants.

The first image is of a hydrangea. Those spots are typical at the end of the season. A fungus disease which needs to be "treated" by sanitation -- that is, collect and discard affected leaves.

Sorry, yes, those are hydrangea. I took the photo because the spots are the same as on the peonies. I will strip the leaves from both plants.

Is it too late in the season to move the peonies? Are they too small? Should I wait until spring?

Thanks for all of the advice!

Leave the peony in place so that it can establish a sturdy root and produce the blooms you expect.

Second that last bit of advice. They do not like to be disturbed, and it will set them back a year or two on bloom. No need to move them. There is a disease called peony blotch, pretty common to older (and less resistant) peonies. It's also pretty common for them to show symptoms of it in fall, and even my plant inspector just blew it off when she saw it on some peonies in my landscape. Clean off the residue from the fallen leaves and I expect you will see some healthy foliage emerge next spring. It occurs when cultural conditions are suitable for it to gain a foot hold, and there are years you won't have it. It's not that much of a biggie, and many people don't even mess with fungicides to control it.