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I would wait. They need to be a little pot bound to bloom and removing the babies will counter this. If you have not read it, this article will help you: https://www.gardeningknowhow.com/ornamental/flowers/bop/bird-of-paradise-blooms.htm

This article, under the section about propagation, has directions on how to plant bird of paradise seeds:
http://edis.ifas.ufl.edu/mg106

These plants are notorious for being tempermental when it comes to flowering. They will readily flower for months and then just stop. There are a number of factors that can attribute to poor flowering (or lack of). Here is an article that you may find helpful: https://www.gardeningknowhow.com/ornamental/flowers/bop/bird-of-paradise-blooms.htm

I would wait until spring to trim the leaves back. This article will help: https://www.gardeningknowhow.com/plant-problems/environmental/tips-for-saving-cold-damaged-plants.htm

I would hold off trimming it until spring comes. These articles will help with how to care for it and prune it:
https://www.gardeningknowhow.com/plant-problems/environmental/tips-for-saving-cold-damaged-plants.htm
https://www.gardeningknowhow.com/ornamental/flowers/bop/bird-of-paradise-pruning.htm

'What is the spathe?'
This is where the flowers emerge from the stem. The hard beak-like bract/spathe sits horizontally. The spathe normally holds 4 to 16 flowers, each flower composing of 3 orange sepals and 3 blue petals.

'How should the deadhead cut be made?’
When the flower begins to look spent, it's time to cut it off. Cut the entire stalk unless there is another flower developing from the same stalk. If so, just cut the spent flower by itself...at the 'spathe'.

Hope this helps!