After serious thinking F wrote :
I've got most of the grease/grime off a tiled kitchen (not ours, I hasten to
add!) but the grout is in pretty poor condition with grease and food/spices
staining it.

Anyone able to suggest an easy/quick (probably mutually exclusive but I can
dream!) way to get the grout back to how it was?

Get a tile grout scraping out tool, scrape it out and regrout it?

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Regards,
Harry (M1BYT) (L)
http://www.ukradioamateur.co.uk