Try Neem mixed with soap start spraying it before you bring them indoors and every week it is more preventive maintenance than insecticide. Keep the suckers to a minimum if you want fruit which will be difficult where you are anyway.
good luck

Thank you for the info.

Though I am not planning a trip to India anytime soon, Where would be a good place to find the Neem you mentioned in your follow up to my question?
Is it readily available at most Garden Centers or Nurseries?

Thank you again for your follow up.

Here is a link to some Neem Oil

Here is a link that might be useful: Neem Oil on Amazon.com

Any well stocked place should have the neem. My local farm and home store has it along with all of the organic and safe stuff up to the strong chemicals and poisons. Neem is one of the first line natural items, getting more popular all the time.

Your original plant should not die back until it has fruited. If it is injured (snapped off) it may regrow or put it's energy into it's pups. Even if it is fine the pups may become numerous and fight for space/food. They can be cut off to the ground to concentrate energy. But that mother is not going to die until it has done what it needs to do. I believe banana producers keep a mother and one daughter so it is half grown when the mother is done fruiting. As it declines the daughter grows up and puts on her own pups. All but one of which are cut off to repeat the cycle.

no the plant will not die if you remove the pups( sucker) be sure to cut off a piece of the crom with the pup so it has roots and something to feed it until it establishes ts own roots. the mother will die once it produces fruit but not until.

Thank you to all who responded to my posts here.
I will follow up with an additional post with the results of your suggestions.
Again, thank you.
Successful growing to you all.