If your student loans are at a low rate - most are very low - you will probably want to consider paying them off last, and making a minimum down payment on your home (3.5%). This strategy will allow you to maximize your cash reserves and minimize your down payment risk (if the house goes down in value 96.5% of the money in the house is the bank's - not yours). Remember, you can always pay the mortgage down, but once you do, the only way to get the cash back out (should you need it) is by selling or refinancing, and either may be difficult based on your home's value or your employment at the time you need to refinance.
Your credit is good, and if you have a 3.5% down payment, then what we need to do next is look at your debt to income ratio. This will determine the maximum that you can afford - and will ensure that you don't borrow more than you can afford to pay back.
Exciting times! Please let me know if I can answer any questions for you.
Buy the way is $50M correct? Did you mean $50K? Do you have any other debts?