changing Post Type names

is there any way at all to change a post type name?

for example, i originally made the post type “Services and Tradesmen” before realising that this would be too long name for the menu, but thought it’d be ok because I can set the menu name to whatever i want, so set it as just “Trades”

now someone has suggested to me that it should just be “Services” rather than “Trades” because Cleaning isn’t really a Trade, which is fine.

But I’ve just realised now that the Search Bar menu still says “Services and Trades” the name of the Post Type, which will be confusing,

rather than deleting the post type and post thats in there (already had to delete her once because she originally posted into the wrong post type) is there a way of changing the Post Type Name any way at all?