Bunny safe paint

Hello everyone,
We are revamping the girls accommodation and we are going to create a wooden gate so we can still get into the bedroom and have a little space to store their hay etc. I'd like to paint the wood white or a baby pink (cheesy I know!)

Can anyone recommend bunny safe paint in case they decide to chew?

Xxx

This might help: http://www.therabbithouse.com/outdoor/petsafewoodstain.asp

It's for outdoors though, I imagine there are more options indoors.

I just use normal indoor paint.
For the gate - I'd probably use cuprinol garden shades or plastikote