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My first TU score was 731 with 2 cards and 2 HPs on TU (both cards open same time, score after 6 months).
DW score started at 720 with 2 cards open for 6 months, 1 open for 2 and 1 open for 1 (don't know if this last one reported before the score) and 4 TU HPs.
The problem you have is that you only have positive payment on 1 TL, but have 3 accounts that will grow your AAoA and help build your credit. I'll say go for 2 cards after 6 months, consider Amex, check prequals, then wait for 6 months and open a couple more.
After only 1.5 years my DW and I have cards with good limits (more than 5k and few more than 10k).
Some people recommend a secured loan, to help the mix on your profile, if you want to consider it. Good luck.