I have just started trying to recite ziyarat ashura regularly, but I find its to long, and my reading in arabic isn’t great so it takes me a long time to get through the whole ziyaret. It especially takes long to recite the laan and salams 100 times each. I was wondering is there an easier/quicker way to recite the ziyarat at the start, when trying to learn it?

There is a shorter ziyarat. You can read that one and you can find it in the books of dua. It’s called Ziyara Ashura the shorter version. Also you do not have to recite all 100 salaams and La3n if you didn’t have time. Do what you can