There are several small desktop machines that will suit your needs.
Minitech is what I use. I will let you search out the rest.
Here is what you WANT.
Sturdy construction. Remember a machine this size is mainly made from aluminum. So the construction of the frame needs to be SOLID.
High RPM spindle with very low runout. Using smaller tooling means you need higher RPM. What good is that rpm if the torque is not there? Or if there is run out at all on the small tooling? NSK E3000 is the spindle I would recommend for this.
Find a machine that has ball screws and a precision WAYS design. Dove tail ways are a pain in the but to keep adjusted. Acme screws while they are great wear quicker then ball screws. Acme screws will last years, dont get me wrong. But when they do get alot of wear on them, its always when you need the machine the most. murphys law.
There are machines on the market that are very easy to use. Pretty much teach you to push buttons. Then there are machines that are just like their bigger counterparts. They teach you to be a machinist (To a degree).