Good for you; Cap One is a dead end for people with good scores like yours.
You should have little or no impact from closing as far as your current condition is concerned . Acquiring a new prime card such as BOA is a good idea.
You should have no trouble getting such a card with a nice credit limit with your scores, however, your scores alone won't do it. You must also have a good report without bks, cos, and such. If you do have any of these they must be old and will limit which banks you may apply with.