Do it with Pantone but using LAB values for the colours.
LAB values offer the best conversion between CMYK, RGB and Pantone across various output formats.
Latest versions of Adobe use LAB values all the time.
When finished creating the logo in Illustrator using LAB values.
You will need to export to various formats for print, web etc.
Best to provide either the .ai file with pdf compatible file.
Or a PDF considering you know what the output destination is! If you don't know this consult the printers.
You can use this LAB value version of the logo for distribution on the Web, Print, or any other format and output destination worldwide.