You want to combine permanova and permdisp, since they test different hypothesis. Permanova asks if there is a difference in either within or between group distance for any of my groups. Permdisp tests the hypothesis that there is a significant difference in within group variance.
So, my hope is that I see a large signal in permanova and a small one in permdisp, because that suggests that my difference is driven by differences between communities compared to differences within one of my communities.
Best,
Justine