So you want go from Earth to moon and to arrive going around the moons equator clockwise as seen looking down on the moon's north pole.
But from a random orbit at the Earth you are probably not anywhere near in plane with the moon's orbit. Tblaxland described needing to get in plane with it and that's the most precise way to do a single transfer to arrive going around the moon's equator. But it can require a lot of fuel if you do the plane changes in low Earth orbit. Your question does actually ask about starting from a random Earth orbit. So let's see what can be done with TransX.
An offplane transfer can work quite well and although it doesn't give a full 180 inclination there is a graphical way to quickly and easily dial in probably close to inclination 160 or 170, or more.
The trick would be to
pretend you are doing a free return sling around the moon back to Earth and swing the outward angle in toward Earth as needed to bring the Pe/Pl ratio down to something like 1.15 (so you pass just a couple hundred Km or less above the surface if you so desire). Ignore what the Pe will be back at Earth because you aren't coming back
The inclination angle of the sling should be left at "0" so it will have brought you back to Earth arriving at an orbit in plane with the moon. This will give you about as good an equatorial arrival at the moon as possible given your offplane transfer.
Here's why this is a great way to do it. It's because you have a sling set up, and there will be a
great visual indication of what's happening in the Stage 2 slingshot view. It will show you what happens to your arrival at the moon relative to the desired sling when you do maneuver changes in prograde and date and you can quickly dial in the maneuver to hit the sling.
If you are highly offplane at the Earth, it's probably a lot less fuel to arrive at inclination 160 or 170 and do the 10 or 20 degrees plane change at the moon then to do the plane change beforehand at the Earth. You might even be able to mix some of the lunar plane change with the orbit insert burn.
I just ran the stock scenario "Delta-glider/DG Mk 4 in orbit" and it's in low Earth orbit something like 51 degrees offplane from the moon. The transfer is easy to set up using the sling method and arrives at 169 degree inclination so only 11 degrees plane change while going 1600 m/s is far less work than changing 51 degrees while going 7500 m/s.
If you like, post a random low Earth orbit and I'll see if I can do a screen capture video tutorial of how to do it.
