Which CNC router should I use?

[MrGee]

Dear All,

A very newbie question from a newcomer to the field of CNC machining. I am involved in LiDAR surveying professionally and have a curiosity in converting some of my digital models into CNC machined objects. I'm sure I can get my 3D solids into suitable formats compatible with CNC software however which machine should I be looking at to achieve the level of detail shown in the below images?

Can this be achieved just from machining or would it require sanding and hand finishing? Any steer in the right direction would be much appreciated, thanks in advance.