Moneydance can import QIF files, which Quicken should be able to
export. The file format isn't standardized or implemented the same
across all programs, so it's best to download the trial version of
Moneydance and see if it can import your data.
I encourage you to download our free trial version and
experiment with the program before you decide if you would like to
purchase it. The demo version is fully functional and allows you to
manually enter 100 transactions. Imported transactions are not
limited, so you'll be able to fully test connections with your
bank. If you decide to purchase the program at a later date you can
keep all your data, the license key simply unlocks the ability to
manually enter more transactions.