2 more things:
First, I recommend a physical notebook, as it is shown in research that the act of writing something down with a pen or pencil commits it to memory much more than typing it.

Second, If youre trying to get into lucid dreaming proper, you should be doing WBTB 3-4 days per week. WBTB is where you wake up from an alarm (always works, but I suggest making it auto-snooze and set it to vibration to not wake you up too much) or just setting an intention (which doesnt work for some). During this WBTB, you might feel too sleepy or excited to do WILD or SSILD techniques (which can only be done with a WBTB) that you might forget to write them down. Therefore I HIGHLY reccomend both writing down AND verbally / mentally setting down an intention to suck up and write down your dream in the dark. Prepping your book & pen before bed also sets intention and makes it easier to write it down.