If you have a brokerage account, and in that brokerage account, you hold stocks, you hold CDs, you hold mutual funds, it is not necessary to change the title on the assets in the brokerage account. All you need to do is change the registration of the brokerage account itself.
To change the ownership on a brokerage account, contact the company and ask them if they have specific forms that allow you to make that change. The companies usually have their own forms and are more than willing to help talk you through the forms so that you can fill them out properly.