I also have an irritable Uterus- when I was still working I would get 300+ BH contractions a day! It has settled since finishing up work, but I still have some bad days where my belly will be sore, tight and hard for hours, and has been accompanied by period type pain the last 3 weeks. I'm 37 weeks on Wednesday.
I don't have any advice except to rest as much as you can. And if it makes you feel any better, all the midwives and doctors I have spoken to have said that having IU doesn't mean you are more likely to go early

My mum had the same, all 4 of her babies came on time.
The only thing I'm worried about is not feeling contractions, so not knowing when to go to hospital! My mum never felt contractions. Her water broke, then she gave birth 1.5-2 hours later with all 4 of us kids!