Hi,
I'm a non US-Citizen but I have SSN, I also have checking & savings account with fleet.

Which is the best way to get a credit card ?

Regards,

Since you have a banking relationship with Fleet, I would suggest you obtain a credit card through Fleet.

Capital One Secured, FCNB or Providian
Also you could ask for a secure loan from Fleet or another bank.

then in three or four months apply for mobil, Target or radio Shack

You will need an US mailing address and a US Telephone #.