Because of the kids, the office MAY agree to grant residency, but it's not certain and depends on "special circumstances". I am a lawyer based in Poland, so I might help with this case
edited...Anyone with kids with an EU passport is entitled to legal residency on family grounds (right to be united with the family) in Poland. That "lawyer" above is clearly clueless - there's no "may" and no "special circumstances" - it's a straightforward decision.