London, UK - Prince Harry and Meghan Markle have been back in the UK for about two months now, so how are their children, Prince Archie and Princess Lilibet, faring after the move?

The insider told People, "The kids have adjusted well, and that's the most important thing to [Meghan]."

Accordingly, helping their children adjust to their new home, establishing a routine, and getting them used to their new school was a top priority for the Duke and Duchess of Sussex.

"Now they're both excited to focus more on their work and the projects that matter to them," the source added.

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"During the week, while the kids are in school, they're working. They're enjoying family weekends together."

It's the first time the children have ever lived in the UK for an extended period. Although Archie was born in London in 2019, his family moved to the US before he turned one. His younger sister was born in California in June 2021 and grew up there.

Meghan also showed that the family settled into their new life just a few days ago on her Instagram page.

A video showed Archie and Lilibet happily taking a walk, with the seven‑year‑old leading on his scooter while his little sister followed behind.

Unlike the Sussexes, Princess Kate and her daughter, Princess Charlotte, have lived their whole lives in the UK.

The family often travels by chauffeur, but occasionally the royals also drive themselves.

What is almost never seen, however, is the British royal family using public transport – until now!

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The mother‑daughter duo was spotted riding the London Underground over the weekend.

Although the royals were accompanied by their security detail, the guards tried to remain inconspicuous and make the tube ride as normal as possible.

During the journey, the pair reportedly chatted with other passengers. Kate also had her phone with her and, per a source, spent a few minutes looking at it. Overall, they appeared relaxed, chatting and smiling.

At Tottenham Court Road station, the Princess of Wales and her daughter got off. Kate held the 11‑year‑old's hand. Where they were headed remains unclear – but they were dressed elegantly, according to the source.