Consider a loan for credit building.
This is considered to be an alternative to using a credit card.
You can also utilize the loan along with a card. In fact, this will be an excellent strategy. Just remember to apply for the loan at least six months after getting the card.
The special credit building loans are available from credit unions, which require membership, and from some community banks. You are granted a small loan that you repay in installments over a period of one year.
You will actually not be able to use the money, however. It will stay in an interest-bearing account so at the end of the period you will get the principal plus interest.