Less rudder, small bursts of throttle the get things going followed by waiting a moment in neutral to see wheich way she is going.
Your biggest enemy is going to full rudder, it seems to block part of the water flow to the wheel (storry old tug boater term) which causes negative pressure on one side of the boat.
Propeller walk is the term for a propeller's tendency to rotate a boat as well as accelerating it forwards or backwards.
A right-handed propeller (which rotates clockwise [as viewed from the stern] when in forward gear) will tend to push the stern of the boat to starboard, thereby pushing the bow to port and turning the boat counter-clockwise unless the rotation is corrected for.. When in reverse gear, the effect will be much greater and opposite. A right-handed propeller run in reverse will push the aft of the boat to port.
Knowing of and understanding propeller walk is important when maneuvering in small spaces. It can be used to one's advantage while mooring off, or it can complicate a maneuver if the effect works against the pilot.
Propeller walk is a complicated effect which depends on ship geometry, direction of travel, propeller direction, vessel speed and depth of water. Three causes are identified for a vessel in deep water:-
Upward oblique flow at the propeller location.
Vertical wake distribution at the propeller.
Unbalanced lateral forces on the rudder (when set amidships) arising from the propeller slipstream impinging on the rudder blade.
The first of these results from there being a measurable difference in speed of water flowing close to the hull and that at lower depths which has not been affected by the vessel's motion. At low speeds the last effect is most pronounced and when going astern has even more influence.
In shallow water the upwards flow from under the vessel becomes much less strong and ultimately disappears. Model tests carried out show that, at a very small underkeel clearance, screw bias caused a ship to shear to starboard (rather than port) when moving ahead and that there is an intermediate depth where the shear from bias is neither one thing nor the other.
Finally, when moving ahead with the propeller moving astern, flow into and around the propeller is very confused. Generally the overall result for a single screw ship when stopping is a shear to starboard, but this is not always guaranteed; sometimes it may go the other way, depending often on any yaw rate on the vessel when the propeller starts to turn astern.
sounds like a simple answer, you need a sli[p with an adjustable depth