Ok sounds exciting!

I had heaps of BH with dd, towards the end it was crampy. I had a lot of false/pre labour too which turned out to be a good thing because my actual labour was really quick and easy.

Dd was born at 39+1 so I would say your body is getting ready.

Are you feeling tired too? Does the cramps/tightening seem to be following a pattern or regular? I would find I'd get them in patches of a couple of hours.