Open a Japanese sentence and three different writing systems are doing three different jobs inside it, often in the same word. This is not decoration — hiragana, katakana and kanji each carry a piece of the grammar or the vocabulary that the others cannot, and the order you meet them in changes how fast the rest of the language opens up.
Hiragana first, because everything else depends on it
Hiragana is the phonetic script that spells Japanese sounds directly: a closed, learnable set of curved characters, each one a single syllable. It carries the grammar — verb endings, particles, the small words that hold a sentence together — and it is also the script used to gloss kanji you have not learned yet, in the small characters printed above or beside them called furigana. Skip hiragana and you cannot read a beginner text even with a dictionary open, because the dictionary assumes you can already sound out the glosses it gives you.
It rewards being learned first precisely because it is finite. Once you can read it, you can read it for good — nothing is added later, unlike kanji, which keeps arriving for years.
Katakana second, for the words that arrived from elsewhere
Katakana spells the same sounds as hiragana in different-looking characters, and Japanese reserves it for a specific job: loanwords, foreign names, onomatopoeia, and anything a writer wants to set off the way English uses italics. コーヒー (kōhī, coffee) and アメリカ (Amerika, America) are katakana because they are borrowed. Learn it second and two things happen at once — menus, signs and product names start to open up, since a large share of what is printed on them is katakana, and you get a second, free pass at the syllables you just learned as hiragana, in a different shape.
Kanji last to begin, not last to matter
Kanji is the one that actually intimidates people, and the reason to meet it last is not that it is optional — nearly all Japanese vocabulary beyond the most basic words is written in kanji — but that it is the one system where knowing the shape does not tell you how to say it. Most kanji carry at least two readings: an on'yomi, adapted long ago from Chinese and used mainly inside compounds, and a kun'yomi, the native Japanese reading used when the character stands with its own native word. 水 is read みず (mizu) on its own, but すい (sui) inside 水曜日 (suiyōbi, Wednesday) or 水泳 (suiei, swimming). The character means "water" in both places. Which sound it makes depends on the company it is keeping.
That is a different kind of learning from memorising a word list, because you are not just adding vocabulary — you are learning which reading a given character takes in each context it turns up in, and the only way to find out is to keep meeting it.
The payoff for sticking with it is real, and specific to a script that carries meaning rather than only sound: once you know enough kanji, you can scan a page and pick out the nouns and verbs by shape before you have sounded out a single syllable, the way a fluent reader spots names in a wall of English text. A page written only in hiragana does not offer that shortcut — every word takes the same amount of decoding, whether it is common or rare.
Where romaji actually fits
Romaji — Japanese spelled in the Latin alphabet — is useful for exactly two things: typing (the standard way to enter Japanese on a keyboard is to type romaji and let the system convert it to kana) and as a temporary handrail while hiragana is still new. It is not a fourth writing system, and no Japanese text is written in it for native readers. Treat it as scaffolding you take down, not a way to skip reading the real thing.
Watch Your Language shows each Japanese word with its script and a romaji reading side by side — 猫 (neko) — in a widget on your iPhone Lock Screen and your Apple Watch face, a few words at a time. It will not decide for you when to drop the romaji, but every glance is a small rep of reading the actual script next to the sound.
A practical order
Hiragana to fluency, katakana alongside your first month of vocabulary, kanji from day one but only ever attached to words you already know how to say — never memorised as shapes in isolation. The order is not really about difficulty. It is about dependency: each script unlocks material the next one needs.