Multiple greps and compiles from inside Emacs

[Nordlöw]

Sometimes I would like to spawn multiple grep's and/or compile's from
within Emacs all outputting to separate buffers say

*dirA-compile*
*dirB-compile*
*dirA-grep*
*dirB-grep*

I have searched a bit for the patterns "multi-grep" and "multi-
compile" but with no success.

How can I make this happen?

Thanks,
Nordlöw