It all depends on the buddhist him/herself, what karma he has.
There is no definate destination after buddhist dies. If the
'baptized' buddhist does good deed, he/she will go to a good place.
If the 'baptized' buddhist does all kinds of evil, heaven or
paradise is nowhere near him. Buddhist aims to go to different kind
of purelands(most famous one is western paradise) which they claim
has no sufferings. Many sutras claim that those who are devoted
would go there after death, but if you ask for my opinion, i dont
think it is as easy as that. One needs cultivation and enough
merits to go to western paradise. Merely having faith is not
sufficient. Faith is important but cultivation is important
too.
As for christianity, i shall not comment much since im not a
christian although i have some sort of ideas what it is about.
Mainstream christianity claim that God believers will all go to
heaven when they die. Non- god believers will go to hell straight.
Well i will leave it as it is and shall not say very much comment
on it as it is still controversy. However Catholics will differ
from that concept. It is said that in order to go heaven, one not
only needs to have faith, but also needs enough merits for that to
happen. This thing about doing good deeds is similar in both
catholic and buddhist context.