Thanks for all the kind words about the site. I'm really please that it is helpful :)
Ideally, if you are raising a new queen, it is best to get the frame her cell is on OUT of the mother hive. The workers tend to call the shots MOST of the time, if not the existing queen can also be a factor.
By removing the frame with a workers and moving it to a nuc, observation hive or full super (along with a few extra frames of food and brood) you are starting with a queenless hive and those workers will tend the new queen with great care.
Having additional frames allows for better protection because of the added bee count, plus all that extra storage space and brood starts the hive off in the right track.
You need to reduct the entrance so they can protect the hive better and an internal feeder would be ideal to help boost wax production.
This is something that you and I would be doing probably in mid to late JUNE when the mother hive is built-up strong and can afford to be robbed of frames of brood and food. Replacing those frames with new foundation and even feed them unless a very strong nectar or pollen flow is about.
The whole idea is to cause the least disturbance to the original and spin off hive. You want both hives to be functional as soon as possible and feeding and entrance reducers really help your bees to put their time and effort into comb building and brood rearing rather than guarding.
More soon - Just got home and wanted to write you. Again, welcome to the forums and thanks for the kind words.