So you'll need a 100A/2P and 60A/2P circuit breaker that fit into your existing 150A panel.
100A feeder 3-#2, 1-#8EG Copper or 3-#1/0, 1-#6EG Aluminum
60A feeder copper: 3-#6, 1-#10EG CU or 3-#4, 1-#8EG AL
Residential wire is weird where it sometimes counts the ground and sometimes not, so be careful if you order. I assume you'll use Quadriplex URD wire, Direct buried. I don't do much residential, JJ or Mark can chime in on that.