The PicoBoo Jr and PicoBoo (formerly known as the PicoBoo 103 and PicoBoo 104) can provide power to 12vDC solenoids.

Follow the directions here:

For the 'S' versions only: Power a solenoid from a picoBOO 103s or 104s

For versions prior so 'S': Sharing a power supply with the picoBOO 103 or 104