What's an efficient way of removing seeds from citrus fruits? My application is for juicing but I guess it would apply to fruit salads as well.

I have an auger-style crushing juicer and roughly remove seeds I see before ramming the orange/lemon/... pieces down the juicer chute. Unfortunately a few seeds escape detection and as I like to put the pulp back into the juice, I get a few crushed seeds in the juice. Not nice.

Are there any accepted utensils/techniques for removing the seeds beyond probing each piece?
We have a twin-screw masticating juicer (an older model Angel juicer) and although the seeds come out quite chewed up, I wouldn't want to drink them and we've never put the pulp back into the juice.

One possibility that comes to mind is to cut the oranges, etc., into pieces and separate out the pieces that have seeds from those that don't.  Run the seedless ones through first and save that pulp to put into the juice.  Then run the pieces with seeds through and toss that pulp.