As prior military I did have multiple offers. And multiple TBNTs. And have posted before how RJ folks really excelled in training. But to the point of timing, go to the first class offered and leave if a better offer comes along. If you have to put them off be straightforward but do not give excessive information. Just ask, if they hired you they want you to come to work there. Having said all that get there as fast as you possibly can. Good luck.