Christy is right about the Nordstrom debit card -- there is no credit check, just a light "identity" verification. The debit has the same exact perks as the credit card. If you spend $100 the day you open the card, you automatically earn a $20 Nordstrom Note (like gift certificates to use at the store). All the Nordstrom cards come with complimentary alterations and tons of other perks too.
Sveta, I can't remember if you can preselect online but I will find out.