What does してきてやる mean in this sentence?


I'm reading Yotsuba (1st chapter) and I have come across the sentence

`じゃあ俺が用意してきてやるおまえ片付けてろ.`

The sentence translates as "WELL I'LL GO GET SOME STUFF THEN. YOU STAY HERE
AND CLEAN UP." I'm having trouble understanding what the きてやる means in
じゃあ俺が用意してきてやる. I've found from this link,
<https://www.kanshudo.com/grammar/%E3%81%A6%E3%82%84%E3%82%8B> , that てやる
means that someone is doing something for someone else. That makes sense in
this situation. Unfortunately, I do not know what purpose the きて is doing here
though.If the sentence were じゃあ俺が用意してやる then that would make sense. The きて
makes me think that this is perhaps some "auxiliary verb." Something that I am
not very good at recognizing. If anyone could help out, then I would really
appreciate it.

Also, if it's not too much trouble, I would greatly appreciate someone telling
me where the て comes from in 片付けてろ too since jisho says the verb is 片付ける.

Big thanks to whomever can help. I'm finding that reading is hard.

