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It may be that there is uneven nutrients in the soil. Too much nitrogen or too little phosphorous can cause a plant to bloom poorly or not at all. Since phosphorus is important for blooming in plants, I would try adding phosphorus rich fertilizer or bone meal to the soil.

Since clivia is difficult to propagate, and division is the preferred method (seeds can take 3-5 years to bloom), it is perfectly fine to cut the flower stems back from spent blooms. Here is more information on clivia care: https://www.gardeningknowhow.com/ornamental/flowers/clivia/clivia-plant.htm

It will not hurt the plant to leave this on. Most people remove the seed pods, simply because they divert energy from the plant's next bloom towards producing seeds. If you do not want or need seeds, just cut the pod and stems off.

What was ailing your clivias prior to being transplanted? Are your clivia planted outdoors in the ground year-round or are they container plants? From my research, it appears that flowering and growth is almost better if their roots are more confined in pots/containers. And, if you are looking for blooms this year, you may be disappointed. Transplanting usually deters clivia's from producing next season’s blooms. It is a plant that dislikes root disturbances.

I recommend that you read the following article which will give you a checklist of care for your clivia, to ensure it is getting everything it needs for continued growth:
https://www.gardeningknowhow.com/ornamental/flowers/clivia/clivia-plant.htm

Clivia does not likes it's roots disturbed, but you could repot or replant when the flowers have faded.

Here is a link about Clivia care.

https://www.gardeningknowhow.com/ornamental/flowers/clivia/clivia-plant.htm

Typically, clivia plants resent being disturbed. However, repotting is normally done every 3-5 years with these plants, so it may be time for you to repot yours. Unless it's overgrown the current pot it is in, your mum should be replanted in the same pot. If it has become too large for the pot, then go up one more pot size.