Take-off: Ditto no great drama depending on just how strong the x/wind component is. Hold the ailerons to prevent the upwind wind from lifting, rotate briskly to minimise the transition period from tyre borne to wing borne so that the tyres don't get dragged sideways as much.
I think this differs greatly between aircraft. Much depends on how much lift is generated before rotation, and how smooth the surface is. Combine a low-set wing, a nose-up resting-angle with a bumpy surface, and there's not much normal force there to allow the tyres to grip laterally. As a consequence, I find crosswind take-offs in some types harder than crosswind landings.