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I would apply for the Household Rewards card. Depending on your credit you could get unsecured or secured version. Even secured version has rewards (very few do that) and you can control your CL. . BBRZ could end up a high AF, low limit card.
I don't think HSBC does product change,
I just got approved for a Household Rewards card, after having a secured HSBC for 18 months. They do not graduate their secured cards eitherl You have to apply.