"Prince George is settling in the nursery school very well. And the family is very grateful for the widespread goodwill they have received from around the world," a royal source tells PEOPLE

By Simon Perry
Updated February 01, 2016 03:15 PM
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Duchess of Cambridge/PA Wire/Getty

Prince George is well on his way to becoming a model student!

Just four weeks after starting his first day of nursery school, the royal toddler has quickly adapted to his new schedule.

“It has been a very happy time for them as a family,” a royal source says. “Prince George is settling in the nursery school very well. And the family is very grateful for the widespread goodwill they have received from around the world.

George and his parents Prince William and Princess Kate enjoyed their first holiday together as a family with Princess Charlotte.

The family is still the primary focus for Kate, 34, but she is set to throw her royal spotlight behind Children’s Mental Health Week, which begins next Monday. She’s expected to release a video message backing the cause, and has her first engagement – supporting her new patronage of the RAF cadets – on Sunday.

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William, 33, has been concentrating on his job at the East Anglian Air Ambulance in the first weeks of the year and is based largely at the family’s county home, Anmer Hall.

He juxtaposes his shift work with official royal duties, something he has found “very rewarding,” the source adds. “He was able to strike a balance between official work and in particular, supporting the Queen, with his job as a pilot.”

He’s doing a lot of shifts in the first weeks of the year as he has more official duties coming up during a busy spring, palace sources say.

The guiding principle for how William, Kate and Prince Harry choose the causes they back is by a “disciplined approach,” spending time “working through the details of certain issues they really care about and that s because they want to make a big impact” and focus where they feel they can make a “real difference,” the source adds.

The couple is planning their upcoming tour of India and Bhutan and looking forward to supporting Queen Elizabeth through various duties in the run-up to her 90th birthday celebration.

During the days around her birthday on April 21, Queen Elizabeth and husband Prince Philip, 94, will be based at Windsor Castle. The Queen has plans to spend her birthday with locals around her favorite official residence. There are a number of official engagements planned, which will enable her to greet the locals. And it’s expected that she will be feted at a family party at the castle later on April 21.