Avels are within the court’s jurisdiction unless the judge has imposed limits. The court is required to give permission for the defendant to leave the area of jurisdiction. It is possible that they will have provide additional information regarding their finances or give up their passports.
The defendant still must adhere to all other conditions for their release. That includes showing up at every court hearing and not having any contact with victims or witnesses. Bail could be cancelled should the defendant fail to comply with these conditions, and they could be sent back to custody.
One can continue to travel even after posting bail. However, they have adhere to all terms and continue their obligations until the matter is concluded. If they fail to comply, it could lead to their bail being cancelled, and they could get detained.
A higher level of assurance could be demanded by bail bond companies for bail. It is possible that you will need an additional co-signer, or provide more collateral, particularly if you may be considered to be an threat to the flight. So think about the potential risks and speak with a lawyer.