There's metoidioplasty and phalloplasty.
Met surge releases the clitoris, lengthens urethra, is generally the path guys take if they want bottom surgery, however this will only give you a small penis. However, it does all the things you're looking for, you can piss through it, looks alright considering, am pretty sure it will get hard by itself, it's just the size.
Phallo is just a disgusting surge in general, the results are terrible so almost nobody is planning/has gotten that surgery so far. It takes skin from your forearm or torso and creates a penis, it won't get hard by itself, and I think you can piss through it, it's normal sized, but it just really looks terrible so.