Baby hasn't dropped? 37 weeks! Advice!

Katy
We're due July 16th with our first baby! Being 37 weeks I haven't had any signs of my body preparing for labor. I figured being 37 weeks I would of noticed something but nothing at all. She hasn't dropped at all, in fact she's super high in my ribs still. I had 5-6 Braxton hicks one night last week but I didn't drink much water and I went for a walk earlier that evening. Besides that she seems like she's gonna be in my belly forever! Is this normal? I would love some advice about labor and pre labor and what I should be expecting in the next few weeks :) TIA!