Unless things have changed, back in the 1960s I was in Saudi. I was not a revert at that time and was Christian. I was permitted to bring a Bible into saudi for personal use, but I was not permitted to bring in any quantity of them for distribution to others.
As far as Churches, Christians were permitted to have places of worship provided it was for Christians only and that it was not labeled as a church etc.
But, that was a long time ago, the conditions may be different today.