The first thing is that you are seeing prop walking as a problem. It is not, it is your friend which will help you if you use it. Know when and how to use this handy friend with your boat.
Here are a couple of facts to ALWAYS keep in mind:
Prop walk happens, it happens most when the boat is not making way, and decreases as boat speed through the water
increases. It happens greatest in reverse. It happens a little in forward but it is slight and most people do not notice it.
Your boat pivots on her keel and is turned by the rudder moving the STERN, stern goes one way, bow goes the other. You turn your boat to port by turning your stern to starboard.
A short burst of power (near full throttle) in forward, while making little or no way, can be used with water
deflected off the rudder to move the stern port or starboard. A short burst (near full throttle) in reverse (with a right hand prop) with little or no way will move your stern to port. Using this allows you to turn your boat in an area just a few feet wider than the boat is long. Short burst is one to two seconds at most
And a few important rules for you. (we use the same rules on ships)
Slowly, slowly, slowly.
Don’t get something started you can’t stop.
If things get out of hand, come into neutral and sit on your hands, you will do far less damage.
Always be aware of current
and the wind
So there you are in your slip, let us assume for the moment no wind
Put a couple of fenders on the port side midship and near the bow, ‘just in case’. Put the rudder (wheel) amidships. Throw all lines off, get behind the wheel
and come into dead slow astern with no throttle until the boat starts to move slightly, then back into neutral . (There will be little prop walk as you were only in astern a few seconds. The boat is moving very slow so the rudder is ineffective. Now when the boat is about half to three quarters out of the slip, almost dead in the water, come into astern and give a SHORT burst of power (near full throttle) then back into neutral. Stern will walk to port and again start moving slowly astern, keep an eye on your bow to stay clear of the boat on your port side. As your stern gets to within a couple of feet (get close) of the boats astern of you put your helm
hard starboard, give a SHORT burst of power ahead, then as the boat just starts to move forward, a short burst of power astern to stop her forward movement. Each one of these maneuvers will be moving your stern to port and your bow to starboard. Repeat as necessary (bursts forward and astern) until your bow is pointed the way you want, (favor the starboard side of the open area) then just a little power ahead to get her moving and steer her out.
Again, practice with no wind, and perhaps the first time with someone on deck
with a moving fender
on your port side. You will get the hang of it and be glad your stern walks to port.