I am an embraer pilot with over 6000 hours on it. It doesn't open many doors I can tell you that.
Go for the 737!! Really, if there is one thing I learned is that the type in your licence is worth its weight in gold if you got the "proper" TR.
It doesn't matter how many hours you have on your licence as long as you have a 737 or A319 on it you are in!
Good luck with your decision.