There is no Venturi effect or airfoil with solar sails, so you can only go "downwind".
Sorry, I thought it was clear that I am using solar cells, (panels) to generate electricity for my solar electric engine. I'm just mounting them like sails.
Solar electric engine (plasma or ion?). A plasma engine is a better bet than ion engines for manrated craft.
I remember reading somewhere that the ratio between power and thrust
for any plasma rocket motor is? 20KW per pound of thrust.
OK! Assuming your space yacht's solar power collection is rated at 40,000 KW.
Then? Solar power-to-thrust conversion efficiency at 20 percent = 8,000 KW. Twenty percent sounds reasonable.
So your thrust would equal only 400 Ibs of force.
Your 100 metric ton (220,000 Ib) 'space yacht' in parking orbit at LEO would need anywhere from 150,000-170,000 seconds of aggregate thrust time to obtain a Delta-vee of between 9,000 - 11,000 feet/second to spiral you out towards the Moon from LEO.
170,000 seconds is almost equivalent to two days.
Obviously that can't be continuous thrust time, since there is Earth's shadow to contend with.
And then there is the matter of the slow passage through the Van Allen radiation belt. Not a good thing to do slowly.
I suppose you could use (potable & waste) water tanks for shielding;
living inside the yacht's cramped protective sheltering space while you pass through the belts.
If you want to enjoy a trip onboard such a craft in the future, I hope you're very young, very brave, very patient, very hardy, perhaps very rich.