Down here, the white birds are not by any means rare. They are just not grown commonly in pots because they get too large very quickly. I have 3 clumps in my yard with the tallest stems at least 15ft. tall and 8in thick trunks. They would get taller but we need to cut out the tallest stems to keep them down to size and out of the power lines. There's one that got to over 35ft. at Selby Gardens. Huge flower 'boats' over 2ft. long.
The smaller 3 to 4ft. orange/blue ones will bloom once they are mature, in a big, tight clump. They do need full sun even down here in Florida. I'm sorry to say I don't think any amount of light bulbs of whatever colors are going to make that plant bloom for you for a while. Probably years. If you had a greenhouse with full sun all year, plus lights for winter, maybe sooner.
But we still don't know which kind of Bird of Paradise you have. If you can't show us a picture, can you at least describe the leaf size and how many fans of stems there are in the pot?