Congrats on the approval!
I was in the same situation couple of years ago and had to do the same debt consolidation of much higher predatory CC rates.
After paying off the installment loan just a couple of months ago, my score shot way up - went from mid 600s to mid 700s.
Now I sock drawered the high APR cards away and the same lender (Upgrade) is hounding me to open up another line at a much lower rate...
It pays to continue what you are doing!