I feel like my baby is going to come early

I'm due march 9th but I feel like he's going to be a February baby. Im 33 weeks and 5 days and it's been a breeze up until this point. Idk if its bc Im getting closer to the end or he's going to come early. I've had some pretty strong BHCs lately & back pain (not always at the same time) & I just feel the urge to poop constantly, even sometimes when I don't have to. I want to clean and get everything ready but it makes my back hurt awful. So tonight I'm washing all of his clothes and bedding to get ready. Better get it done now before I feel even worse or have him come early.