With my first, he was fully engaged ( 0/5ths ) around the 34 week mark I think. I was induced at 37 weeks for PE and HELLP syndrome though and he wasnt' ready, was still small then.

With my DD, she didn't engage till labour, but I had those pains, the prelabour for about a month or so before hand, and she ended up going 2 weeks overdue. I had to dodge having a medication induction forced on me.

It's certainly not unusal for your bub to start engaging this soon, especially with your first baby.

Definately take it easy moving though, especially lifting things. You don't want that bubba out before 36/37 weeks, so use all the exuses in the world for now, you are allowed