Clean and sterilize your glass jar or container.
In a medium-sized saucepan, heat water, salt, and sugar until the sugar and salt dissolve.
Stir in the apple cider vinegar and bring the mixture to a boil.
Add the fresh herbs, spices, garlic cloves, and sliced vegetables (onion, carrots, beets, and celery) to the brine.
Simmer for 5-10 minutes, or until the vegetables are tender.
While the vegetables are simmering, hard-boil your eggs.
Once the eggs are cooked, peel them and set them aside.
Use a funnel (if you have one) to pour the hot brine into your sterile jar or container.
Place the hard-boiled eggs in the jar, ensuring they are fully submerged in the brine.
Seal the jar or container with the lid, making sure it's airtight.
Refrigerate the jar for at least 2 weeks to allow the eggs to pickle.
After 2 weeks, taste the eggs to determine if they're ready to eat. They should have a tangy, slightly sweet flavor.
Once the eggs are to your liking, enjoy them in your favorite dishes or serve them as a snack.
To store the eggs, keep them in the refrigerator for up to 3 months.