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GE is certainly good, but if you're looking for a card that's more widely accepted, I'd try for the Discover More or Chase Slate or Amazon.
Barclay is another good option. Less generous with CLIs than GE, but they seem to be pretty generous with starting limits for scores around your range. Give the Apple Financing or Cash Rewards a try.
seem like GE stand out the best option right now.....hmmmm