Question [Q] Note 2 and CM11?

Hi,
I'd like to buy a phone with good overall performance, stable CM11 and very good battery life (replaceable battery is an advantage). My N4 batt life is terrible.

1. LG G2 or Note 2 or Xperia Z1 Compact - which one would you choose?
2. How CM11 performs on Note 2?

Note 2 is older than G2 and Z1C, but still is really comparable.

Any help will be appreciated.

Need help with translation? I can help with Polish language.