Paste without Fonts

Regular old pasting brings everything, fonts, formatting, links, and so on. Pasting as plain text brings none of this. But sometimes what I really want is something in between that preserves links and formatting (bold, italic, etc.) but does not carry fonts with it. Mainly this is when pasting text that includes links, but not wanting to have all the font baggage that comes with the regular old paste. Thus, having some way to paste without fonts, but with everything else, would be helpful.