Ian,
Most people knowledgeable in piano service will tell you that it's not such a good idea to do this yourself. I have seen many a piano action screwed up badly by hack piano tuners who supposedly are familiar with how to do things.
That said, there are gram weights sold by piano supply companies which are used at the playing position of the key to measure the amount of weight it takes to make the key move down.
Upright pianos should not be individually weighted to give even touch weight. The key weights are usually placed evenly, and if the action is well regulated and not too worn the touch should be even. Grand piano actions are weighted individually, as the key weights (in the front part of the keys) are used to balance the weight of the hammers and wippens at the rear.
If you can find a location at the rear to place your jiffy-leads (that's what the screwed-on type are called) that gives a correct down weight at the front on many of the keys, then you should locate all of the weights at the same distance fron the balance point. Black keys all the same, white keys all the same. That should get you in the ballpark.
Make sure what you do is reversible.