Simply calling it "rebirth", but thinking "reincarnation" (due to being putthujana) is simply accommodating an eternalistic thought that ought not be brought to mind.
Perhaps it's better not to think of future lives at all, for this reason. (This is my approach)
"If a bhikkhu is absorbed in speculation about the other world, then his mind is obsessed." (MN 48)Chownah
~ if you've not read anything by him before, I'd strongly encourage you to investigate the works of Bhikkhu Nanananda. He approaches the Dhamma and matters like bhava
from a deep, subtle perspective, and I think you'll find his insights complementary to your investigations.
"Do not force others, including children, by any means whatsoever, to adopt your views, whether by authority, threat, money, propaganda, or even education." - Ven. Thich Nhat Hanh
"The uprooting of identity is seen by the noble ones as pleasurable; but this contradicts what the whole world sees." (Snp 3.12)
"To argue with a person who has renounced the use of reason is like administering medicine to the dead" - Thomas Paine