If I had it to do all over again, I would just cut out the old wall (very carefully) and replace it with sheetrock and insulating that wall while I was there. I have spent much angst having people that don't really know what they're doing try to fix and repair lathe & plaster.
I've had one successful float, but it was so much more work than just cutting out the one wall and replacing it with sheetrock that it wasn't worth it. It looked new at the end anyhow and I had to texture it, not matching the surrounding walls.
I've also had good luck just going over the lathe & plaster with thin 1/4 " sheetrock. But, you have to make sure your wood work sticks out enough to not look funny and you need little electric box extenders (remodel kits).
Cutting out a wall takes tape, snapping a line, and using a circular saw to cut just through the plaster. you can then knock out the middle, moving out, but be careful around the outsides. You then need to cut the lathe closest to the edges and pull it all out. If it's an outside wall, insulate and when you're done sheetrocking you can simply use a roller and texture paint, cheap fiberboard molding to match the rest of the room's molding, caulk around the edges and paint. It's much easier than anything else, but only if you're careful. If you pay someone else to do it by the hour, they will accidentally make it a very big long job! Still, it is very easy and there's absolutely no reason for that to happen. Good luck!