I have been giving this some thought, and I am concerned about the ability of a getter alone to reduce the pressure from the 1E-3 range to 1E-7. I have never tried that myself, though I have used getters to maintain that level of vacuum once pumped down by other means. However I don't have any hard and fast data to say it can't be done, and anyway, I don't like saying "can't be done". (Too defeatist).
For cleaning, I would certainly proceed with a hot degrease (in isopropyl alcohol or similar), followed by an acid clean. This type of pre clean is used in the vacuum tube industry, (travelling wave tubes, magnetrons and so on)where construction of devices from copper, nickel and stainless steel is common. You could try an electropolish, but it is the removal of grease, dirt and oil that is most critical. I would very much like to know how you get on with the getter, if you are able to divulge any info. If I manage tyo dig up any info on similar things, I will forward it. Good luck!