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Was your mortgage approved ?
who are the secured cards with and what are the limits?
IMO If Costco declines, the Capital One cash rewards is a good choice. However, the Orchard card will become Capital One next year, so waiting is also a good way to go.
Are these $200 to $300 limits the appropriate for your spending? If you are looking for bigger limits in the future, you might consider upping the deposit on the Orchard. If it converts, to a Capital One secured card, it can help you get a larger limit unsecured card with them next year.
Also, I would wait until your mortgage reports before applying anything else.
If it was me I would avoid reward cards all together for now because of the much higher APR. I would find a credit union apply for their card. I had a good experience applying to my credit union. My first real card with them was 1,000 CL at 10.3 APR and I got it bumped up to a 2,000CL after 6months. Years later I will probably keep my CU card for the low APR in case of emergencies and its my first real CC so it helps my AAoA a lot. That is what I have done, good luck deciding what is best for you.
The only way I could see you getting those secured deposits back without closing the card would be if they granted you a product change to a non secured card. IDK anything about how likely that could happen.
I would suggest trying to keep the secured cards open as long as possible so that it keeps your AAoA up as high as it can be.
*Beware of how your AAoA will change if you close your secured cards*
When someone applys for multiple mortgages in a certain time period in only shows up as one application. IDK about the specifics on that though.