I recommend Synaptic Package manager. It is a very useful and advanced tool. It also has a learning curve... I struggled with it a bit when I first moved over to Linux, too.
But it is actually pretty easy.
In this, the two most important buttons are on the Top Toolbar- Apply and Search.
Hit the Search button and enter in either the full name of the package you want- or a general search term to search through any related packages.
For the kernel, search for "linux-headers."
The beauty of Synaptic is that when you mark such a package for installation, it will pop up a window asking you to confirm any dependencies or additional packages you need. In this case, the kernel image, modules, etc.
I do not recommend updating the kernel unless needed. The next version in the numerical line is not necessarily "updated" or "better." It addresses some newer hardware issues sometimes. But the kernel can need revision and corrections...
Think of the Windows kernel, where the NT kernel was used for over 15 years.
Stable Matters.
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