Maurice,
When I said about 'oil holes if necessary' I did not know what you would be buying. As Hooper said, there is no need for any hole drilling in Oilite bushes; they will run for a fair bit of use without any replenishment, provided they are a good fit to start with (and that includes on the shaft). The amount of oil you will use is wholly dependant on your use of the machine and only you can judge that.
As to the original oil nipples, the best plan is probably to just remove them but……………that leaves an upward hole for dirt and swarf to enter, so remove the nipples, fill the resultant hole from an oil can and replace the nipple. Another possibility is to stick a bit of wool, etc in the hole and just keep that moist. I guess they were threaded 2BA so you could substitute nipples for short screws if you want.
As to oil, SAE 30 (a descent motor mower oil, etc) or thinner should be fine. Nothing sticky like chainsaw oil, and never a grease no matter how rattly you find things.
Get going again and see how you get on. It is not a matter of getting oil through the bushes "fast enough" as you imply. Suggest you read up on the Oilite bush to understand better how it is meant to function. if you still find play or any looseness in the two bushes that sit close together, do not try to keep oil flowing through and out of them. It would be futile and a waste of oil. Just put some in (via the nipple hole) from time to time and the bushes will do the job. It is very much a suck it and see, totally dependant on the use the machine gets. There is no need to have oil dribbling out anywhere all the time.
Trust that helps.