Matte Photo Paper or Matte Cardstock (48lb - 65lb) . This provides vibrant colors without the glare of glossy, and feels premium.
To give you the best recommendation, are you printing , junk journal pages , or small instant photos ? What is the best paper to use for digital downloads?
Ensure you purchase paper that allows for printing on both sides to avoid blank white backs.
Based on your request, it seems you are looking for to print digital, scrapbook, or junk journal materials (which often come in ZIP files), rather than the "Tines" automation software.
Matte looks better for vintage or junk journal styles and is easier to write on.