By themselves Road King bars are easy to change (as bars go). Just not much in the way of getting to them. The hassle doing this on your CVO bike is all the internal wiring.
You've got a couple options:
Take the bars off the bike and take them to your dealer. Pay them to disassemble the plugs and shove everything in the new bars. If you're doing this much with the shop it's hard not to justify just letting them do the hole job though (isn't it?).
or
Get your glasses out so you can see well enough to disassemble the plugs on the ends of each side's harness.
Everything else about the swap is painfully obvious. Different size bars may or may not require different throttle and idle cables, brake line or clutch cable. That's all right out in the open though. It's disassembling the harness connectors and fishing the wires back through the new handlebars that tends to push people toward paying someone else to do this.
If you can be patient and careful with it it's honestly not that difficult. Only you know what you're comfortable with though.