Follow James advice. Also look @ his web site for software info about carving.
But a quick clarify: A nesting router implies that all tools can reach all areas of the work area, this would include the drill block. "Flat table" is usually used to separate the CNC from a pod & rail machine and more recently from the part-at-a-time vertical machines. In the past there were machines made where the drill block could not reach the entire work area. Almost all routers now have 3 axis control, Meaning the tool can be moved in all 3 axis at the same time. There have been machines made with 2 1/2 axis control, meaning only two of the 3 axis can be moved at the same time. A limitation to be avoided! Low relief carving can be done on any 3 axis machine with the correct software. Z is up/down X&Y are front to back and side to side. Most machines allow a 4th optional axis to be ordered. It allows the tool holder to be rotated about the spindle axis. Used along with aggregates. If you are not familiar with aggregates look up Benz. They advertise on this site. Should you get carried away and opt of the C-axis make sure your software will support it. We have the C on our pod & rail, addictive!
We also have 5 X 10 Komo nesting router, sure wish it was a 5 X 12! IMHO nesting is the way to go for case work. Get a list of current users of the machines you are considering. Contact every one of them.