Request a closed door meeting.
Assuming the company will need to let those people go and those people would be in the meeting, propose that the meeting only include certain staff. A "closed door meeting" which only requires certain staff.
Don't specifically say you want persons X Y and Z out, but you want staff A B and C in; otherwise the nature of the meeting and the people who might be cut will feel its specifically against them.
If that doesn't work;
It's not fun to imagine, but if the people who are affects will be in the meeting, assume they will figure it out when you make the proposal.
If the company will let those people go;
Be honest. Say that certain jobs might become redundant. Those people won't like it, and may even argue - but worse than that would be letting them stew while you rattle off weasel-worded arguments. At that level, at least you're respectable.
If the company won't necessarily let them go;
If it's not about cutting costs and actually just about freeing up resources, then change the perspective; you aren't getting rid of anyone, but you are completely freeing them up. If they have other marketable skills or their existing skills can be used to improve something else, that's what you talk about.
Just because you make things efficient doesn't mean people are getting the axe. I'm a programmer and I made an entire program that automated one persons job - they weren't let go - but now they are doing far less tedious work and they thank me daily for it.