The best way of getting the most out of DevOps is to have a "DevOps Master". A DevOps Master is like a Scrum Master but is only interested in helping you get 100% from DevOps and it's perfectly fine for them to be part of the development team.
It's important to note that a DevOps Master is not a management position. It's simply a role that encourages the team to use DevOps in the best way possible. With a specialist knowledge of DevOps, they're in the best position to know what should change and what could be done better.
Some of the things they should focus on are:
Taking you beyond DevOps as just a source control system
Using DevOps to help you on a proper ALM road
Making sure that automated builds are created and managed properly by the developers
Managing the build servers if additional help is needed (builds themselves are the responsibility of the developers)
Checking the builds are fit for purpose, and that unit tests are included
Checking that deployment is working properly
Checking the right check-in policies are enabled and developers are leaving meaningful check-in or commit messages
Ensuring code analysis is enabled and getting stronger
Ensuring CodeAuditor is running
Cleaning up unused Workspaces (this removes old check-outs by default)
Making sure all patches are applied to the servers (they might not do the work, but they make sure it's being done)
These duties need to be taken care of on a regular basis, but most of all, the all members of the team should be encouraged to improve things themselves.