You can take your animals with you, they only need to be vaccinated against rabies and have a microchip. Know that there are vets on the border that are vaccinating animals.

Kids are able to enter without documents. They won't be separated from their parents.

You need any kind of identification to enter right now, doesn't have to be a passport.

Covid vaccines are available for people that are entering

There is also no quarantine after you enter

Please stay safe

Edit: people started to ask for sources so I'm happy to provide them

https://www.wetgiw.gov.pl/main/aktualnosci/Tymczasowa-procedura-przemieszczania-zwierzat-towarzyszacych-z-terytorium-Ukrainy-na-teren-Polski-przez-osoby-nie-posiadajace-kompletu-dokumentow-weterynaryjnych-dla-psow-kotow-i-fretek/idn:1999

https://www.strazgraniczna.pl/pl/aktualnosci/informacje-o-granicy-polsko-uk/9870,Zniesiona-kwarantanna-na-granicy-z-UA.html

https://www.gov.pl/web/udsc/ukraina-en

https://www.gov.pl/web/zdrowie/szczepienia-przeciw-covid-19-cudzoziemcow-narodowosci-ukrainskiej