Painting exterior windowsill and lintel

[puffylovett]

I need to reprint our exterior windowsills (currently painted in black gloss) and the new stone lintel we've had put in above our front door.

I don't like shiny finishes - what kind of paint do I need? I was thinking exterior eggshell, but will this be hard wearing enough. Or should we prime and then use masonry paint. And should I use exterior masonry paint on the lintel, or will this result in a different finish to the windowsills?
I also need to paint the fascia and guttering around the bay window to match, and also there is a foot deep black stripe around the base of the house that needs redoing, it's been painted directly onto the brickwork for some reason (we suspect maybe to show the level of the damp proof course?) it seems to be flaky non shiny paint so suspect masonry.

Help please, anybody practical!

[PigletJohn]

stone should be left bare.

Masonry paint is the stuff to use for brick or concrete (which should also be left bare).

Gloss paint will prevent it from "breathing" so damp is likely to be trapped beneath the surface, damaging the paint and causing the masonry to spall off when it freezes.

You can paint wood.