Well i am kind of an old school person and for me having a cheap pencil is just an insult as i value hardness of the pencil and shape, also the color and company which makes them…
My favorite one is: Tombow Mono series especially HB one
as far as it goes anything from Tombow is just very good, forgot the name but they have a black eraser and its amazing when paired with the pencil, as far as kanji goes they got also special caligraphy pens which i also used they’re amazing, but also practise writing kanji with a normal pen would recommend parker one or pilot.
Second place for me is Palomino Blackwing 602, it depends where you live but as example in Japan and Germany they’re twice the cost of Tombow one’s but some of my friends love them and cannot live without them…
also the paper which you will use matters, i like the feel of oxford’s notepad but anything which you will find in Familymart etc is alright unless its not really cheap 
as my personal notebook is use Moleskine notebook for writing kanji which i don’t know or Vocab
but as my school notebook i use Clak Notebook as the quality is just outstanding but i have no idea where to buy it as i got it as a gift from my old friend from Italy… i’m slowly running out of place inside of it but my friend will send me another one soon
so it really depends some people have no issue writing with 0.20$ pen from megadonki and cheapest paper possible but it really depends, as with anything all of us have different style