I anticipate the new loan would generate only $460 per month at first, and dwindle significantly with every payment I make.
Just checking on this statement: If you consolidate your loans, and then make additional payments on the lump sump payment, the principal is reduced at the end of the loan lifespan, and does not readjust with every additional pay down you make. Maybe your personal loan is different, and I think there are some military loans that do this, but my understanding is this:
Assume a $100,000 loan, and you pay down $6000 a year (forget about interest and years and all that for now). That is $500 a month. If you get a $6,000 tax refund the first month of your loan and put it to the principal, you owe $94,000 and will not have to pay the last year's payments.
But, the loan does not re-calculate to make a new monthly loan payment amount based off the new principal amount automatically, you'll have to refinance to have that happen. So you'll still be paying $500 a month, just for one year less. You will not all of a sudden only have to pay $476 (or whatever number it would now be) because you have a different principal amount.
If that is what you are thinking, then you are wanting to keep your loans segregated and pay them off one at a time--the famed "snowball" method. I like this, and having just killed off my student loans, it helps because the hardest pay-off is the first pay-off, but the first pay off is when you're still basking in the glow of your newly found mustachianism. Some people say attack highest interest rate first, I say attack smallest first (especially at your take home income) in order to get some payment relief and sooner gratification/reinforcement.
But maybe you're simply saying that your new loan would pay off $460 a month, and increase monthly as you get further along the principal/interest timeline making the principal, and not the loan payment, dwindle.