We bought some Like-it modular drawers from Container Store and there are optional casters for them. Unfortunately the casters are complete garbage, their posts bent under very light load.

I made these adapters for more heavy-duty rubber caster wheels with steel base plates, which I found on amazon.

Modeled in Fusion 360 on a Mac and milled out of some cheap wood using a Nomad desktop CNC mill, but you could 3D-print them as well.