OK, so your incoming supply will go to a bridge rectifier, and then the 2 loads will need power switching. Then you will need a heatsink at least for the bridge ( 15A units will need it for sure, and if you are doing rail 40A would not be overkill) and then 2 IGBT or power mosfet, or even bipolar transistors will do, select on voltage drop at the current of 10A or so to get the lowest cost device that runs the coolest. Those get a heatsink with the bridge, and if you are willing to make the bridge out of individual TO220 or TO247 diodes then all fit on one heatsink on edge.