Unless you find the slip ring is deeply tracked, or unless you want to go right on in and swap the condenser, you'll probably be OK there Alan. And if the slop in the drive end is simply the insulator breaking up per previous comment from John, then you won't have to get the inner race off that end either. The races are really the only hard part in terms of dismantling them, though sometimes an original undisturbed and shellacky slip ring can be a tough one as they're fragile. If you DO have to get the cb end bearing off, you need a way of protecting the brass taper for the cb backplate while using whatever puller - I use a small mating tapered shouldered plug with a centre drilled pimple, which fits exactly over the shaft to protect the extreme end, and over which the inner race can be pulled.
Before pulling it apart, good idea to see what end float there is - it's dealt with unfortunately by shims behind the races if there's too much, or by large brass shims between the contact btreaker end housing and the main body if things are too tight. There are often several of both! If you've only got wobble at the drive end - ie no float to speak of - John's point is all the more likely to be right.
You'll find it's a fiddle to get your new oil seal, insulator and bearing outer race into place. The magnets tend to play havoc. I use a length of threaded non-ferrous rod with all the bits carefully arranged between washers and nuts, to get things started. And to keep the insulator in place - they do come in at least 2 thicknesses from IIS as you'll have seen - I reckon MG's recent tip on using an elastic band to hold the insulator onto the race is brilliant having tried it literally this past weekend - gets it central and removes a lot of hassle.