Welcome to YT and congratulations on the new addition to your family.
I agree with Karen, use baby wipes. Keeping a long coat is labor intensive.
My boys have longer coats and the one likes to mark when we go walking, which is usually at least twice a day. I have to clean the side of his coat after each walk.
The only other thing you could do is band the hair in the right places to keep it from dragging in the urine spot.