  Here we investigate how charge density waves (CDW), inherent to a monolayer,
are effected by creating twisted van der Waals structures. Homobilayers of
metallic transition metal dichalcogenides (TMDs), at small twist angles where
there is significant atomic reconstruction, are utilised as an example to
investigate the interplay between the moir\'e domain structure and CDWs of
different periods. For $\sqrt{3}\times\sqrt{3}$ CDWs, there is no geometric
constraint to prevent the CDWs from propagating throughout the moir\'e
structure. Whereas for $2\times2$ CDWs, to ensure the CDWs in each layer have
the most favourable interactions in the domains, the CDW phase must be
destroyed in the connecting domain walls. For $3\times3$ CDWs with twist angles
close to 180 degree, moir\'e-scale triangular structures can form; while close
to 0 degree, moir\'e-scale dimer domains occur. The star-of-David CDW
($\sqrt{13}\times\sqrt{13}$) is found to host CDWs in the domains only, since
there is one low energy stacking configuration, similar to $2\times2$ CDWs.
These predictions are offered for experimental verification in twisted bilayer
metallic TMDs which host CDWs, and we hope this will stimulate further research
on the interplay between the moir\'e supperlattice and CDW phases intrinsic to
the comprising 2D materials.
