If you already have a .config file ready, one way to compile the Linux Kernel is to install kw and run:
$ kw build
The command is time and resource intensive, so it might slow down your system for some time. It might fail and ask you to install some dependencies. For more information read the kw build documentation.
This is a micro-post about the Linux Kernel compilation process, its main purpose is to highlight and redirect to valuable resources.