Should i travel at this stage of pregnancy?

I'm 38 weeks now so being the baby is full term my doctor said I could pretty much have him any day now. My hospital is already 40 minutes away from my house and I'm wondering if I should chance a trip to my parents house 6 hours away for 4 days this weekend. I'm scared if I go down there and go into labor ill be stuck down there and be in a hospital with doctors I don't know and all that stuff. I've been having braxton hicks (what doctor said) so that makes me even more nervous. Have any first time moms gone into labor in their 38 or 39th week? How likely would it be or is it just a chance thing to go into labor now? Thanks!