Hi Natz
I think it is perfectly normal. I also experienced that type of pain round about 32 weeks. By that time my son was head down & dropped down into the birthing canal. He came at 38 weeks

I also started experiencing a lot of Braxton hicks & at one stage I thought I was going to go into labour but was a false alarm.
When last have you been to the gynae?
Do you maybe have one of those exercise balls? It really helps to ease the pain