I have 2x 163110-2RS bearings in a VP Bottom Bracket.
The bearings MUST be able to be removed. The middle of the BB might be an alloy sleeve (hollow). Stand the BB on its end, so that one of the square tapers is sitting freely, in open vice jaws. The BB is sitting up-ended on one of the 163110-2RS bearings, on top of the vice jaws. Don't tighten the vice jaws up - no need. Knock the top of the up-ended BB on the taper end, firmly with a hammer (you may want to put a bolt or nut into the BB end, to protect the thread when you use a hammer on it.) One of the 163110-2RS bearings should move up/down, enough that some play is detected. You might only get 1-2mm of play, but this is enough that the alloy sleeve in the middle, is now loose. (Improvisation required in next step) Reposition the BB so that you can knock one of the square taper ends, and the 163110-2RS closest to that square taper end, should drift out, over the square taper end that you are also knocking with a hammer. Repeat with the other side and other 163110-2RS bearing.
If the inner sleeve and the outer sleeve of the 163110-2RS bearing is sloppy, then you can discard the bearing. If the inner and outer sleeve are firm, and/or if they are gritty and clogged up, you might be able to clean and regrease.
-2RS = 2 rubber seals.
These rubber seals (black discs), are actually tinplate, rubber coated on the outside. The rubber is fairly robust. The tinplate can be punctured, dented or bent, so be careful. (When the seal is damaged, your sealed bearing is now an open bearing. Use at your own risk.) Use a flat jewellers screwdriver to c a r e f u l l y prise up one end of a rubber seal. Start from the outer circumference of the seal and once lifted c a r e f u l l y move the jewellers screwdriver around the seal like some ppl might do, when they remove a bike tyre. Both rubber seals can be removed like this, and the bearings inside, and their cage, can be cleaned with kero, and then again with fresh clean kero. The bearings should then spin freely, but maybe a bit tinny-sounding. Pack the bearing cage with grease, on both sides, in the same way you might pack caged car wheel bearings with grease. Clean the seals, and then carefully press each back in each side of 163110-2RS bearing.
Re-assemble the 163110-2RS bearings onto the BB by knocking a hammer, onto a socket, which sits closely on ONLY the inner sleeve of the 163110-2RS bearing. You may need to use a deep socket to get the height over your square taper end. This part is also important because an ill-fitting socket will damage your tinplate/rubber seals.
That should do it.