Were you to ask my children to describe their favourite dinner, it would be rack of lamb with roast potatoes. Despite its cost (and it is expensive), their mother and I make sure they have it on a regular basis, just to see the joy on their faces when it’s served up and the following vigour with which they attack each piece. Audrey finishes hers before touching anything else on her plate. Eliza, by contrast, leaves the lamb till last.
I cook them the same way for my children as I would for anyone else. They must be pink in the middle. If your guest likes meat well done, choose another cut.
Supermarkets sell their lamb already trimmed. If you buy it from a butcher, I am sure he or she will be happy to prep it for you.
You can deglaze the skillet in which the lamb was cooked with a little port and a knob of butter. Transfer this to the sauce to add extra flavour.