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Thank you, Thorsten, titlesec package looks like exactly the one I need, have to look at that!

And thanks for the welcoming - I used LaTeX extensively in my university days, but it's 15 years now since I've used it, and I'm new to LyX, so takes a bit of time to get up and going.

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Update: I ...

I'm writing my thesis using currently the doc. class "report (KOMA-script)", but I think my question is more general and doesn't apply only to that class, that's why I'm asking it here:

Is there any "easy" way to change the font size of the Chapter, Section and Subsection titles, by redefining ...