Tonight and tomorrow, ice the area. Yes, it feels like shit when you first put it on, but trust me, 20 minutes on and 20 minutes off fduring the first 24 hours after an injury will cut inflammation and dull pain. After that, use a heating pad.
Lidocaine pads are over the counter now. Read the instructions and follow them to the letter, you don't want to absorb enough of the stuff to affect your heart rhythm, but they can work quite well on all sorts of moderate pain and are safe if you follow instructions.*
I have some salve that's basically Ben-Gay with CBD and works better than either, alone. You can order CBD products through the mail as long as they're made from hemp, but you might not get them in time. It's good for sprains and strains if you don't mind stinking and would be good to keep around if you insist on moving heavy furniture.
As for oral stuff, if you can tolerate NSAIDs like Motrin or Aleve, you can alternate those with Tylenol in order to sleep at night. If you can't tolerate oral NSAIDs, try the SalonPas pads, they contain an anti inflammatory but it's absorbed through the skin and will bypass your digestive tract (I have IBS, too, it sucks), just follow those instructions, too.
*Worst I got was some mild dizziness when I spaced it, dizziness cleared within an hour after removing the patch. It was on one foot, so it had been on for a ridiculously long time.