The Chipped Pot can be found in the Stow-on-Side bargain shop. There was also a Mystery Gift at one point (this one) that gave you a Chipped Pot.
Alternatively, you can find wild Polteageist in South Lake Miloch (Sword only), Stony Wilderness, and Max Raid Battles in the Watchtower Ruins. In the Crown Tundra, it can be found in Dynamax Adventures, Old Cemetery, Giant's Bed, and Ballimere Lake. You'll have to get lucky, but you can find Antique Polteageist in the wild.
As for Cracked Pots, they too can be found again in the Stow-on-Side bargain shop. You can get one, to quote Bulbapedia, "On the roof accessible via the ladder on the right side of the stairs". Aside from that, the same Mystery Gift that gave you a Chipped Pot would also give you a Cracked Pot. In the Isle of Armor, the Cram-o-matic can give you a Cracked Pot with the recipe Spell Tag, Destiny Knot, Wishing Piece, and Lax Mint.
Polteageist (Bulbapedia)
Polteageist (Serebii)
Chipped Pot (Bulbapedia)
Cracked Pot (Bulbapedia)
Cram-o-matic Recipes (Dot Esports)
Hope I helped!