Thanks in advance!
I take my laptop with me.
My laptop
"Mine" is usual, but the Duden also allows "mine".
"I'll take my laptop with me."
Laptop is usually used as a masculine (the laptop), and whoever does this must say my laptop in your sentence, in which the word is in the accusative. Sometimes you hear the word as a neuter (the laptop), and whoever finds it more beautiful will say my laptop in your sentence.
Both are https://www.duden.de/rechtschreibung/Laptop, but you should never mix them.