Stay The Same
These include the Duke of Rothesay, Lord of the Isles, Duke of Cornwall, Earl of Carrick, Earl of Chester, Great Stewart of Scotland, and Baron of Renfrew. Charles might have gotten most of his titles while his mother, Elizabeth was the reigning monarch, but this is not the case for all of them.
Changing Titles
For example, the Prince of Wales is a title that has been in effect since 1301. However, not all heirs automatically receives the title. In fact, this title is reserved for the male heir apparent.