My curls are similar and and daily straightening was pulling my that model too until I changed my routine. Start by washing with a smoothing shampoo and conditioner to tame the texture from the get-go. After that, while your that model is damp, apply some argan oil or something slippery to the ends, helps with glide.
When it's dry, divide into small sections and use a clip to keep others out of the way. Hold the straightener at a slight angle, not straight down, and pull it through in one fluid motion without stopping. If it catches, pause and detangle that spot with your fingers first. Yeah, I tried rushing once and it was a mess but now it's effortless. Works great.
