This sounds like the 2004 film adaptation of Lemony Snicket's novel series A Series of Unfortunate Events, which adapted and condensed the first three novels in the series:
- The Bad Beginning
- The Reptile Room
- The Wide Window
The series and film, as well as a Netflix television adaptation, tell the story of the Baudelaire Orphans and their misadventures after their parents' death as they are pursued by a nefarious (a word which here means "very nasty and one-eyebrowed") villain named Count Olaf, who desires the children's family fortune. Most of the books have the Baudelaires being sent from extended family member to extended family member, only for Count Olaf to show up in disguise and wreck any hope of a peaceful life with their new guardians.
The "large house with animals" segment you mention describes the portion adapting The Reptile Room, involving a relative of the Baudelaires' who is a herpetologist (a scientist studying snakes and reptiles) and has a vast collection of strange and unusual reptiles in his home.
The lakeside house that eventually falls into the lake refers to the home of Aunt Josephine in The Wide Window, which is built precariously on a cliffside over Lake Lachrymose and does indeed fall into the lake during a hurricane as you recall.