When I got these rooted cuttings about 10 days ago the looked fine but now I am having some issues. The new growth seems to be deformed and some of the older leaves are cupping upward.

One plant has what looks to be a egg sack or something. Whatever is happening it's not normal.

Second pic almost dead center you can see a white tiny blob.

No webs and I went over all three plants with a powerful magnifying glass and found nothing but the little white blob.

No mites or aphids

Under the leaves are little white things as well.  I'd spray the whole thing - stems, tops and bottoms of leaves with insecticidal soap (potassium salts of fatty acids), neem oil or rubbing alcohol, in order of my preference.

Little white hairs from the leaf are what you are seeing. the deformation of the leaves resembles an aphid infestation but like I said there is not a bug on any of these plants. I will look closely for a couple more days. I have neem oil, I will mix up a bit and use it on them.

If you don't see an active infestation don't worry about it.  Neem oil will work on whatever that 'sac' is.

Leaves are deformed from FMV.  No big deal.  They'll probably grow out of it.  Other than FMV they look healthy.

Stress can trigger plants (esp young ones) to show fmv symptoms. It might just be the move to your house that triggered it. Spray with neem to be safe. They will recover.

The plants look fine to me. It is normal for young plants to get stressed and it will show up in the new growth. Just provide them the right nourishment and water them in the right intervals (not too much). They will rebound.

Is it acceptable to cut off the affected new growth or just let it go?

I read that you looked with a magnifying glass, but chances are that it is not strong enough to see fig bud mites. They are microscopic, the literature says use at least 30x. At 40x they are visible but still too small to make out many features, it is mostly movement that gives them away. They are not shaped like typical mites either, they are elongated and blend into the forest of trichomes on the undersides of young leaves, for scale, their bodies are about as long as those trichomes are wide.

The mottled leaf in the 3rd pic resembles fig bud mite symptoms. There is bad information distributed online by universities and others who do not make any attempt to distinguish between fig bud mite symptoms and FMV. Their microscopic size and confusing symptoms makes them insidious and a formidable threat to your upcoming season if they go undetected. Best of luck with it, I can't say whether you have them or not but thought you would appreciate the warning.

Thanks hb, I had to break out the 100x plant microscope. Didn't see anything but will look better tomorrow.