Actually don't listen to me. I'm an impulse buyer with credit cards. You want a nice looking pitcher and basin to perform the hand washing mitzvot? That's an excellent opportunity to go thrifting! You might even find Judaica there, like a Chanukkiyya perhaps?
You don't want to wait 8 years for Shabbat candles to arrive from Israel? Ask your rabbi! When I asked her if you can reuse a Havdalah candle, she sensed I was worried about the cost of buying all these candles and said her shul has tons of extras.
You absolutely do need a Chumash, a Tanakh, and probably a study Bible too... but Sefaria has all that and more! Especially the Talmud and other Rabbinic sources! It literally blows my mind that this site exists and is free.
But what about all the books on Jewish history and philosophy? What about textbooks for Modern and Biblical Hebrew? See if there are scanned versions online, or go to your local library. Invest in notecards, you're going to want to write down prayers and such, this will especially help if you don't own the books you're studying from.
It's a good idea to have a Siddur, but your shul will most definitely have their own, and as others have told me, you can ask your Rabbi if you can borrow one to take home (make sure to treat it with reverence).
If you want to start baking Challah and are living on your own, or maybe in a dorm room, see if there are community cooking spaces so you don't have to buy your own materials, or just ask your parents if they can gift you some kitchenware because "You want to get into baking."
You literally don't need anything other than a cup that you think is pretty and has meaning to you for the Kiddush. And don't splurge, I've seen hundreds of very attractive Kiddush sets and candle holders and all that for modest prices.
And take it slowly! Don't buy everything at once. We're nowhere near close to Chanukka right now, so don't even put that in your mind. If you want to acquire holiday items, focus on Pesach and worry about other festivals in their due time, let your wallet recover a little. This also goes for Shabbat! You don't need a pristine set of everything all at once, I'm just an idiot. You can slowly build up your perfect beautiful intricate table as the months go by.