Bi2Sr2CaCu2O8 crystals with electrical contacts positioned far from the edges are studied by transport measurements, then cut into narrow strip geometry, and remeasured. Instead of showing larger resistance, the strips display a dramatic drop in the resistance, enhanced activation energy, and nonlinear behavior due to strong surface barriers. The surface barriers also dominate the resistive drop at the first-order phase transition. Because the surface barriers are avoided in large crystals, we are able to probe the solid phase and find good agreement with the recent predictions of Bragg glass theory.