Prince William and Kate will make a quick three-day trip to New York next month, which will see the couple visit the September 11 memorial and watch an NBA basketball game.
The royals will arrive in the US on December 7 and return to the UK two days later for a first trip to America since their visit to California in 2011.
William will also fly to Washington DC on the trip's middle day to attend a wildlife conference, while the pregnant Duchess will remain in New York to visit a local child development centre with city mayor Bill de Blasio's wife Chirlane McCray.
The list of engagements includes the NBA game as the basketball league supports the wildlife initiatives which the prince is involved with.
The Duke and Duchess of Cambridge have written to two photographers, asking them to stop "harassing and following" Prince George and his nanny.
The complaint comes after an individual was seen last week "in the vicinity" of the young Royal, Buckingham Palace said, adding that there is reason to suspect George's daily routines may have been subject to "surveillance and monitoring" for some time.
The individual has previously been spoken to on a number of occassions by protection officers about his behaviour in respect to other members of the Royal family, according to Palace officials.
A spokesperson said: "The Duke and Duchess understand the particular public role that Prince George will one day inherit but while he is young, he must be permitted to lead as ordinary a life as possible.
"No parent would tolerate the suspicion of someone pursuing and harassing their child and carer whilst their child is playing in a public park or going about their daily activities."
The taxpayer cost of refurbishing William and Kate's family home was £3.4 million last year, official figures show.
The 20-plus roomed apartment at 1A Kensington Palace was "completely reserviced" from April last year following the removal of asbestos that had made the property uninhabitable.
Around £1.1 million was spent on the property the previous year, taking the total to prepare it for the couple and their son Prince George to move in to more than £4m excluding the work to remove asbestos.
Royal household sources said the apartment had required a "complete refit" and had problems such as no running water but the spending on it was now complete.
Furniture and fittings in the home, which is understood to have around 20 rooms, were met privately by the couple as well as a kitchen and they were said to be "at pains" to "bear down" on public costs.
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Hundreds of excited locals greeted the Duke and Duchess of Cambridge on their tour of the Strathearn area of Scotland - which is near St Andrews where the pair first met as students.
William and Kate, known as the Earl and Countess of Strathearn north of the border, began their day with a visit to Strathearn Community Campus in Crieff, where they met representatives of local volunteer groups.
The royal couple got a taste of Scotland's national drink and were given the chance to bottle their own Glenturret malt during a tour of the country's oldest distillery, near Crieff in Perthshire.
The Duchess wore a coral and red striped coat by Scottish designer Jonathan Saunders and a dress by Goat which she topped off with a celtic brooch she recieved as a wedding gift.
This trip is the couple's first joint engagement since returning from a tour of Australia and New Zealand last month, and on this occasion their young son Prince George did not join them.
David Beckham believes the Duke and Duchess of Cambridge will be "amazing" parents and has helped out the couple by suggesting a name for the new royal arrival.
"David's pretty good ... if it's a boy of course, " he recommended
The football star struck up a friendship with William when the pair joined forces to lobby for London's Olympic bid in 2007.
In an interview with Sky News, Beckham said: "They're going to be amazing parents because they are so loving towards children.
"We've seen William grow from that young boy into an unbelievable gentleman. And that as a father is really important."
Bookmakers Ladbrokes have slashed the odds on the Duke and Duchess of Cambridge's first child being named James.
Following "an unprecedented amount of bets" placed yesterday, the odds have fallen from 20/1 to just 6/1, Ladbrokes said.
One punter in London could make £4,000 from a £200 bet should the Duchess give birth to a little Prince James.
The odds on William and Kate having a girl are at 2/5 compared to 7/4 for a boy.
Alexandra and Victoria remain the favourite for a flutter at 4/1 each, while James and Charlotte are at 6/1 and Elizabeth is 8/1. George rounds up the top five royal baby names with 10/1 odds.
Topping the date of birth bets are 13 and 14 July - which both have odds of 8/1.
A charity for injured servicemen and women has been awarded £100,000 from a fund set up by the Duke and Duchess of Cambridge and Prince Harry.
Walking With The Wounded - which helps retrain injured military personnel for careers in civilian society - was given the grant by the Endeavour Fund for its 2013 South Pole Allied Challenge.
Harry, the expedition patron, announced last month that he will make the gruelling 210-mile trek across Antarctica this winter.
The Endeavour Fund was set up last year as part of William, Kate and Harry's Royal Foundation with the aim of enabling more wounded servicemen and women to take part in expeditions and sporting challenges.
Prince Harry has revealed why his brother Prince William is not taking part in this year's London Marathon.
Speaking to volunteers as he prepared to hand out medals at the finish line, he said his brother was "getting old".
Last year Harry joked on BBC that he was planning to enter the London marathon and that the Duke and Duchess of Cambridge were also taking part.
At the time Clarence House moved swiftly to play down his comments; saying they were obviously made "in jest."