I’m not an expert, but I have ridden there a few times. There is a MTB map available at the tourist offices. In June and Sept you can ride the walking trails, but that’s a no-no in July and August.
There are official, purpose built MTB trails at Le Tour and Les Houches – which are at either end of the valley. I rode the trail at Le Tour a few years ago and it was absolutely fantastic.
There is a beautiful trail, that is permitted all year, at Argentiere. You take the large gondola up and then descend towards Les Praz. Switchback heaven.
My favourite trail of all is the La Flegere trail, stopping at the wonderful little off-grid cafe for lunch. But that trail is not open to bikes in July/August.