Copenhagen in early spring is quiet, crisp, and perfect for exploring by bike. You can pedal along the harbor and hit the world-class food markets before the summer crowds arrive and drive the hotel prices up.
If you want to manage the $3200 cost over time, you can use the Citi Simplicity® Credit Card. It offers 0% for 18 months on purchases and balance transfers from date of account opening, which lets you split the bill into manageable monthly chunks.
Keep in mind that the 18-month window is a deadline, not a gift. If you still have a balance left when the intro period ends, the bank will start charging interest on what you owe.