There isn't really much of a comparison: The "home" routers are pretty much purpose built and optimized for 99% of the implementations. There'll be one WAN connection, and one LAN connection (which may be expressed on multiple switch ports). One Gozinta, one gozoutta - no trick there at all. No routing protocols (static/default only), IP only, Ethernet only, no big trick there.
"Real" routers frequently have at least one active LAN and WAN port, but it could be dozens of either or both. Generally, they support all of routing protocols (RIPv1 & v2, IGRP, EIGRP, EBGP, IBGP, ISIS....etc) for IP, plus they usually will support other networking protocols (IPX, Appletalk, DECNet...).
Then you put it into an environment where that one router has to work cooperatively with anywhere from a couple to thousands of other routers in the same organization. The planning come in to make sure that only the right data ges to the right place (that's the rumor anyhow). All of that PLUS making sure that you don't congest your skinny li'l T1 pipes with useless data or routing protocols or broadcasts or management information.
On top of the router stuff, you also have to configure and manage the switching fabric (QOS, VLANs, redundant connections, Spanning Tree ...), coordinate the firewall system, the intrusion detection system, management systems, dozens-to-hundreds of servers, dozens to tens-of-thousands of desktops, applications .... all of the parts have to work together or nuthin' works. Then you have the one smart guy out there that's gonna toss in a "router" under his desk and muck it all up .......ooops...getting waaayyy OT...sorry.
I guess the point is; the level of complexity expands rapidly with each routed segment. "Real" routers have to take into account many more variables than a home system, "real" routers have to be much more dependable than home systems.
For a larger organization, the better analogy is plugging in and using your toaster versus building and operating a nuclear power plant (when you add in all the other network elements to make everything work well).
BTW: $10K for a corporate router is still a small router. Big routers, loaded, go up into the hundreds of thousands of dollars. The principles are the same, but the scale and scope is much broader.
FWIW
Scott