I step mash every beer I make, too. I've done it 50 times or more, I'd estimate. I do a 2 step of 148-158°F to 162°F, to control FG and insure 100% conversion, as Neddles said. I recommend the stepwise addition that Ken describes for the first attempt, but I use BeerTools Pro software, which includes mash tun calibration, and it accurately predicts the step infusion volume and temperature. That makes it a reasonably effortless process.
I modeled your 3 step infusion mash and it would work on my system with a 2.25 gallon thick protein rest, a 2 gallon infusion to 149°F with 195°F water and a final 2 gallon infusion with 188°F water, ending at a nice 2 qt/# thickness. Your system will probably be different, but you could probably pull it off with boiling water additions until you hit your temps. I'd drop the protein rest, though, personally. Dropping the protein rest also makes the precision of the step less crucial, since your alpha rest should be fine anywhere in the 158-162°F window, but you probably would want to be pretty close to your 149°F rest.
Edited by Brauer, 03 December 2016 - 06:00 AM.