Hello Lanun, welcome to permies!
How much
water will the terraces get? Does the water flow down the length of them?
What has been planted in the beds, is the soil pretty good?
Would you dig into the terraces, drop the
wood into the trench and then bury the wood, so that most of the hugel is under the ground or are you thinking of laying the wood on top and adding soil to make the hugel above the current ground level?