37 weeks is full term (37 weeks til 41 weeks and 3 days is length of normal pregnancy), bubs will not need to go to special care unless they are cold, or have low apgars or are smaller that expected but generally speaking 37 weeks babies haved no problems.

Relax and enjoy the last few days of your pregnancy and also try natural induction methods to help yourself along before then eg having sex, nipple stimulation, clitoral stimulation.

Good luck and try not to stress as that dosnt help your blood pressure!!