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It is likely that many of them will survive. Just treat them as you would when overwintering larger plants.

Letting them dormant, as you are wanting to do, is best. This article will help:

https://www.gardeningknowhow.com/ornamental/flowers/geranium/geranium-care.htm

This collection of articles will offer more information:

https://www.gardeningknowhow.com/ornamental/flowers/geranium

Perennial geraniums, also called cranesbill, will produce seed if you don't deadhead the flowers at the end of summer. The seedpods are elongated and start out green, then change to brownish when ripe. It's important to harvest the seedpods before they "explode" or the seeds will be lost to the wind. You can enclose the pods in mesh bags to prevent that from happening. They must be able to get sunlight, however, so nothing opaque. Once you collect the pods, leave them in a dry, warm area till the pods split, revealing the seeds.

Here is how to germinate the seeds:

https://www.gardeningknowhow.com/ornamental/flowers/geranium/geranium-seed-propagation.htm

During winter, care for indoor geraniums by placing them in a bright location with indirect sunlight. Allow the soil to dry between waterings to prevent root rot, and maintain a cool indoor temperature, ideally between 45-55°F (7-13°C). Trim back leggy or dead growth, and consider reducing fertilization to once a month. Keep an eye for pests and ensure proper ventilation to promote overall health during the winter months. You can also force dormancy, which is another good way to overwinter them.

https://www.gardeningknowhow.com/ornamental/flowers/geranium/how-to-save-geraniums-over-the-winter.htm

https://www.gardeningknowhow.com/ornamental/flowers/geranium

During the summer, you can pinch back the growing tips to encourage branching. Before bringing it inside in fall, cut the branches back by one-third. You also can start new plants from cuttings. Here is how:

https://www.gardeningknowhow.com/ornamental/flowers/geranium/geranium-care.htm

https://www.gardeningknowhow.com/ornamental/flowers/geranium/pruning-geraniums.htm

https://www.gardeningknowhow.com/ornamental/flowers/geranium/how-to-start-geranium-cuttings.htm

To keep geraniums healthy during winter , it's advisable to bring them indoors. Geraniums are sensitive to frost and prefer temperatures above 50°F (10°C). Before moving them, inspect for pests and prune any dead leaves or flowers. Place the geraniums in a bright location, ideally near a south-facing window, to ensure they receive enough light during the shorter winter days. Water them sparingly, allowing the top inch of soil to dry out between waterings, as overwatering can lead to root rot. Additionally, you might consider reducing fertilization during the winter months since their growth slows down.

https://www.gardeningknowhow.com/ornamental/flowers/geranium/geranium-care.htm

It looks like leaf miners on the leaves with zigzags. They are hard to treat because the "miner" is inside the leaf. Go ahead and pinch off the leaves where the leaf stem meets the main stem. It also looks like you have caterpillars or grasshoppers feeding on the leaves. Check the plants carefully for a pest that might be munching on the leaves. They may be hiding at the base of the plant. I would move the plant away from your other plants till you find the suspect that is eating. It could even be slugs at night.

https://www.gardeningknowhow.com/ornamental/flowers/geranium/tobacco-budworm-on-geraniums.htm

https://www.gardeningknowhow.com/plant-problems/pests/insects/leaf-miner-control.htm

https://www.gardeningknowhow.com/ornamental/flowers/geranium/geranium-care.htm