Hi,
What is your printer actually on the following list ?
https://support.hp.com/au-en/product/hp-deskjet-2600-all-in-one-printer-series/12319824/product-info
They support wireless and don't have ethernet ports therefore you can connect to your wireless router at home. The following image shows one way to set it up:

The following guide shows you how (capter 2):
http://h10032.www1.hp.com/ctg/Manual/c00389927.pdf
Regards.
BH***
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