Most of todays lenders have similar criteria. When purchasing a "second home" it is typically considered an investment property which will generally require 10% down with outstanding credit and 20% down with less than outstanding credit.
You can certainly shop your loan as well, just be cautious you do not have alot of lenders running your credit.
There are other criteria to consider and it is best to communicate with a lender directly for your most informative answers.
Congratulations and best of luck.