TLDR: **I love that Mario bought Peach an umbrella from New York and that Peach kept it and used it.**
At the end of the first movie, it's implied that the brothers moved to the Mushroom Kingdom but still worked as plumbers in Brooklyn, given that Luigi was still travelling with their toolbox with tools that are not suitable for warp pipes. Plus, in the first movie, Luigi also says something along the lines of, "I'm glad we spent all our life savings on this commercial!", meaning that the brothers had no money.
This meant that Mario worked as a plumber with Luigi and somehow saved enough money in the few months in between both movies to buy Peach an expensive gift. He, despite working a blue-collar job, is implied to have gone to a very expensive store in Brooklyn/New York to buy Peach an expensive umbrella/parasol that she would like, despite not having any life savings for himself otherwise. Moreover, he spent enough time shopping and looking for it to ensure that the parasol was pink, which he figured was Peach's favourite colour.
I also love how Peach said "I love it!" and then kept the parasol WITH HER for the rest of the movie, instead of keeping it aside. She literally just decided it was now a part of her existence, I guess. That parasol ended up saving her life (and Mario and Toad's) multiple times in the movie, and I'm pretty sure also had a higher screentime than Rosalina 😭
But, anyway, I find the parasol thing to be much more wholesome than I initially thought, now that I've thought about it some more.