Do My Coins Stop Fluctuating With the Market Once I Move Them Into a Wallet?

No, they don't.

Whether you own bitcoin or dogecoin, the price of your digital tokens will fluctuate against the currency you have your wallet or exchange account set to. If the value of your litecoin or ripple goes up, the tokens in your wallet or cold storage will increase - and vice versa. Your wallet acts as a mechanism for security and access to your private keys.

Remember, developers use the term "wallet" for simplicity.

How to Avoid e-Wallet Fluctuation and Extreme Volatility

If you wish to avoid market fluctuation once your virtual assets reach a certain level, you will need to convert your holdings into the currency of your choice and transfer the amount to your bank account.

You can also cash out incrementally. Since coins can be bought and sold in increments or small amounts, you can secure your profits or shield yourself from extreme volatility (see May 2021!) by taking out a little bit at a time.

Conclusion: Example

A good way to compare it to is gold. You might have purchased $5,000 worth of gold coins and bars. But just because you physically own the precious metal, it does not mean the commodity suddenly removes itself from market fluctuations. The value of your holdings will always be based on what the market says.