axial bearing lubrication

Hi!
I'm currently try to build DIY brush-less spindle motor, because i can't find such items in shops. I collect some stuff which was never designed to work together, but i'm really want to finish this project
The stuff includes precision 8 mm shaft with collet, RC car motor, and axial bearing, along with other magic parts. There is no cavity (enclosure) for place the axial bearing, so it is currently outside the motor (please see photos). But if i lubricate it with grease and turn motor on, the grease will immediately dispence on my room and on me myself. Bearing not have cover(s) like traditional radial bearings. So the question is, how to lubricate these bearings? How the big guys do it? And can it ever run without enclosure?
Thanks!

I am sorry but can't find a way to place 2nd picture in same post, so try make another.

Thanks.
So i will try to use additional cover as first aid, i really must worry about chips and dust.
And in future, i will try to use more advanced bearings.
Only question remains, are bigger bearings capable to support such high RPM rates as small bearings do? My motor has 19 mm O.D. bearings inside it (so i buy same 19 mm additional external bearing), and specs on this motor says about 50K RPM; but i read somewhere, the bigger bearing is, the less max. RPM it accepts.
(I'm not really need 50K RPM now, because i don't know how it important for milling, sorry. I mostly want get this result for knowledge about motors of this type, because high RPM rate may be useful for other users).