Full-service movers do everything while you do nothing but pay. PODS cuts the bill roughly in half by having you pack and load while they handle the transport. The tradeoff is sweat equity versus cost.
Verdict: PODS to cut costs and keep control when you are willing to pack and load. Full-service movers when your time, back, or schedule make doing it yourself a bad trade, especially for 3BR-plus or high-value loads.