How to display last posts of different categories on one home page

Hi,
I’m using wordpress for a few years now and have been very happy with it.

Today, I’m trying to improve my blog by doing a home page in which we could have the last post displayed for different categories, with a different layout from the rest of the blog (multiple columns)

Do you know if there is any pluggin that can handle it? If not, do you have any advice to do that?

Thanks a lot and have a nice day!

Martin