In the context of cryptocurrency, a "custodial" asset means an asset is placed under the care of a third party. This is similar to how banks have custody over their customer's funds. A Custodial Wallet refers to a wallet whose private key management falls under the care of a company. Examples of Custodial wallets include Coinbase, Nexo and other wallets where users do not have access to their private keys.
"Moon" or "To the moon" is a crypto slang that describes an exclamation when the cryptocurrencies prices are rising and when it hit the peak, the coin is said to be "mooning".