Strynboen, if the emulsion tubes (or needle jets in Honda speak) come down after you've removed the main jets, that's fine and not a problem at all. There's certainly no O-ring in there. If the needle jets don't come down rightaway however, here is what to do.
After removing the main jets
Twist the throttle at least halfway in order to raise the needles and then insert from below a match or wooden toothpick into the needle jets. When that is snug in the needle jet, cant or turn the wooden toothpick a mm or so and you can wiggle the emulsion tube out easily.
Some WD-40 at forehand can help.
Essential in this procedure is that you open the throttle to raise the needles.
Has always worked for me, but most of the times they just dropped after the main jets were removed. Very simple. Keep the parts separate in containers or boxes 1,2,3 and 4 and make sure you assemble them correctly and not upside down. Inspect O-rings around main jets if they still seal well. These carbs are so easy to work on. Don't separate them from the rack. For maintenance removing the floatbowls is enough, the rest is to fill pages in manuals. Piece of cake.