Inking is done in exactly the same way as with metal, as is printing. The paper used for etching can be one of many. Copperplate paper, although designed primarily as an engraving paper, is often used because it has two great qualities useful to the printmaker. It has great give, and this is important when printing over the edges of thick plates or when any topical relief is used on the master plate. The second quality is smoothness.
Copperplate paper is very smooth, and any paper with a smooth surface is a good choice.
Papers with texture will struggle with the fine lines of your design and may cause some loss of detail. A soft paper might be a better choice than a hard one, depending on the situation, because soft papers yield easier and will reach into the scribed lines to pull out the ink. Although white, cream, beige and soft gray papers are most prevalently chosen for printmaking, colored papers in coordination with colored inks can create dynamic looks. If you are ready for a new discovery, try etching.