to deb.
To deb:
The reason why the jedi council will keep padme's pregnancy a secret from anakin is for the same reason that the hide padme away from him. The more people that he values in his life the more they can manipulate him. For example, they(sith/empire) can kidnap the twins or padme and lure him into a trap (like ESB with luke). Also, this also will effect him internally, he has fear...fear for their safety...which effects not only his concentration but his ability to reject the dark side.
As a result, they are hidden while she's pregnant...so he is unaware especially after the Palpatine sways him to the dark side convincing him the jedi have been holding him back and by hiding her (for his 'own' good and their cause 'which is to beat back the clones'😉...he feels a sense of loss...thus fear. you saw how he reacted when he lost his mom...but his mom had last words for him...padme never had last words for him...so he loses it.
Padme might marry into the family or somehow hide there. I think Bail Organa and Palpatine are political rivals...this when Palpatine asserts his authority and tries to make the empire enforced with his clone army...Alderran is naturally his enemy...as is the jedi council which are peacekeepers of the republic. so thus alderran might be on the other side of the clone wars with the jedis.
As for Tatooine...it makes sense...kinda. I still have yet to resolve it. I think its plain simple that anakin doesn't know. If he doesn't know...he doesn't look. I think they hide both in separate locations to enhance chances of survival. If you have two people in two different places...its better than having both in 1 place. By then, you could kill two birds with one stone in a sense.
Also, i suspect he would never go to Tatooine cuz of the fact his mom died there. There is such an traumatic place, i'm sure he wishes it farewell forever...thus never to return to that "horrid" place.