As far as I can determine, it's a standard 1K NP fee to transfer any pet to any account, regardless of how powerful your pet is. Adoption costs are variable, but since the person you're transferring it to is going to refuse to adopt the pet anyway, they won't have to pay that fee. This is with transferring, not with abandoning your pet and then attempting to reclaim it from the pound.
Glitch Report: Unable To Unequip Weapons
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As far as I can determine, it's a standard 1K NP fee to transfer any pet to any account, regardless of how powerful your pet is. Adoption costs are variable, but since the person you're transferring it to is going to refuse to adopt the pet anyway, they won't have to pay that fee. This is with transferring, not with abandoning your pet and then attempting to reclaim it from the pound.