ETA: You're asking this now? As you enter the second tri? I find that strange. If anything, I've heard of giving it up in first tri then going back to a cup a day thereafter. Why do you think you have to stop soon? Curious.
I actually spoke with someone who was late in her third trimester who said she was drinking coffee until she could really start to feel the baby move... and then noticed a correlation between her caffeine intake and the movement, so she cut it out later in her pregnancy.
OP, I've been trying to cut back on caffeine a little bit in case I feel like I have to stop when breastfeeding due to sensitivity (and not wanting to face a quitting cold-turkey situation). But for now, I still enjoy a cup a lot of days.