I'm far from an expert but did manage to get last year's to flower again this.
If the bulb has split I'd pot them up seperately, give them a good feed and water. They don't need to go into massive pots.
Mine are outside now and will stay out until end of Sept (subject to early frosts) then I cut off the foliage, take them out of their posts removing compost. Then pop them into a dry dark cupboard for about 10 weeks. Pot up and wait for more blooms.
I did find that the smaller bulb I split off last year didn't flower this but has bulked up so you may habe to wait for flowers.