You asked

What lenses should I buy for the nikon d5500?

For an everyday kit on the D5500, I'd start with the Nikon AF-P DX 18-55mm f/3.5-5.6G VR. It covers the wide-to-normal range you'll use most, and its VR stabilisation matters because the D5500 has none in the body. Since the first-camera guide suggests the money goes further in lenses than in bodies, it's worth adding one prime or a zoom for a specific job:

Tell me what you shoot and I'll narrow it down. The focal length converter helps if you're comparing field of view.

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