If I were you, here is what I would do.
I'm assuming approx $75,000 total bonus before the 28% tax.
First bonus would be $27,000 after tax, or...
Change traditional TSP bonus contribution to 100% that will take out $17,500 before taxes.
This will leave you a payment of $14,400 to put in a Roth IRA (max out 2013 before April 2014, then put the rest toward 2014 you and spouse) or put it toward debt of your choosing.
This makes $17,500+$14,400=$31,900 which is greater than the $27,000 I estimated.
The result would be more little green employees working for you and less for Uncle Sam.
Congrats on reenlisting! Would you believe they are going to give me a bonus to reenlist past 20 years. What a scam.