A support carriage for a pool covering system, the support carriage comprising: - a support part configured to be movable in translation relative to the pool in a translation direction (Dt), the support part comprising two lateral support frames intended to move respectively along two opposite lateral edges of the pool, - a winding drum configured to wind and unwind a pool cover between a covering position in which the pool cover covers a pool and a release position in which the pool cover releases access to the pool, the winding drum comprising two end portions opposite each other and respectively supported by the two lateral support frames, the winding drum being mounted movable in rotation relative to the support part about an axis of rotation extending transversely to the translation direction (Dt) and in a cover winding direction and a cover unwinding direction opposite the cover winding direction, - two drive wheels which are rotatably mounted on the two lateral support frames respectively and which are configured to roll respectively on two rolling surfaces disposed on either side of the pool, and - a rotation drive device configured to rotationally drive the winding drum and the two drive wheels, the rotation drive device comprising a drive motor and at least one coupling mechanism disposed at least partly in one of the lateral support frames, the at least one coupling mechanism comprising a coupling member movable relative to the respective lateral support frame in a displacement direction (Dd) and between a first engaged state in which the coupling member is configured to rotationally couple the drive motor to the winding drum and is uncoupled from the respective drive wheel, and a second engaged state in which the coupling member is configured to rotationally couple the drive motor to the respective drive wheel and is uncoupled from the winding drum, the at least one coupling mechanism being configured such that: - a rotation of the drive motor in a first motor rotation direction causes a displacement of the coupling member in the displacement direction (Dd) and in the first engaged state and causes a rotation of the winding drum in the cover winding direction, and - a rotation of the drive motor in a second motor rotation direction, opposite the first motor rotation direction, causes a displacement of the coupling member in the displacement direction (Dd) and in the second engaged state and causes a rotation of the respective drive wheel in a pool closing direction. - a support part configured to be movable in translation relative to the pool in a translation direction (Dt), the support part comprising two lateral support frames intended to move respectively along two opposite lateral edges of the pool, - a winding drum configured to wind and unwind a pool cover between a covering position in which the pool cover covers a pool and a release position in which the pool cover releases access to the pool, the winding drum comprising two end portions opposite each other and respectively supported by the two lateral support frames, the winding drum being mounted movable in rotation relative to the support part about an axis of rotation extending transversely to the translation direction (Dt) and in a cover winding direction and a cover unwinding direction opposite the cover winding direction, - two drive wheels which are rotatably mounted on the two lateral support frames respectively and which are configured to roll respectively on two rolling surfaces disposed on either side of the pool, and - a rotation drive device configured to rotationally drive the winding drum and the two drive wheels, the rotation drive device comprising a drive motor and at least one coupling mechanism disposed at least partly in one of the lateral support frames, the at least one coupling mechanism comprising a coupling member movable relative to the respective lateral support frame in a displacement direction (Dd) and between a first engaged state in which the coupling member is configured to rotationally couple the drive motor to the winding drum and is uncoupled from the respective drive wheel, and a second engaged state in which the coupling member is configured to rotationally couple the drive motor to the respective drive wheel and is uncoupled from the winding drum, the at least one coupling mechanism being configured such that: - a rotation of the drive motor in a first motor rotation direction causes a displacement of the coupling member in the displacement direction (Dd) and in the first engaged state and causes a rotation of the winding drum in the cover winding direction, and - a rotation of the drive motor in a second motor rotation direction, opposite the first motor rotation direction, causes a displacement of the coupling member in the displacement direction (Dd) and in the second engaged state and causes a rotation of the respective drive wheel in a pool closing direction. - a rotation of the drive motor in a first motor rotation direction causes a displacement of the coupling member in the displacement direction (Dd) and in the first engaged state and causes a rotation of the winding drum in the cover winding direction, and - a rotation of the drive motor in a second motor rotation direction, opposite the first motor rotation direction, causes a displacement of the coupling member in the displacement direction (Dd) and in the second engaged state and causes a rotation of the respective drive wheel in a pool closing direction.