Novicoupe,
Removal of the float needles is pretty straight forward. I opened up one of my spare sets to get a couple of quick shots.
Remove float assembly from the carb
Gently spread the arms of the float assembly and work the floats out of the cage. There are slots molded into the cage/hanger so you don't have to spread the arms as far.
Apart
The float needles on all 3 sets of my carbs have rubber tips. Haven't seen a solid metal tip, but I wouldn't be surprised if some markets had them.
If there's no wear around the sealing tip (pointy bit should be nice and smooth with no indentions), then also check the spring loaded pin on the other end of the needle.
If the carbs were gummed up, this bit may be stuck. A little soak of carb cleaner will usually free it up. If a one, two, or all 4 are jammed, you may not be able to get a good float height setting. It'd worsen as fuel eventually loosened up the spring loaded pin and your float height will go out of adjustment.
Reassembly with either your old needles or new ones is the same thing, just in reverse. Just be gentle with the float cage/hanger when spreading it apart to insert the float. I've had multiple sets apart and have yet to damage a float hanger.