If you start the process to recover your Apple ID password, it typically won't result in an immediate loss of access to your devices. During the recovery process, you may be required to sign out of your Apple ID on the old device you're trying to reset the password on, but your other devices, like your iPad and iPhone, should continue to function as usual.
However, if you encounter any issues or are uncertain about the process, it's a good idea to contact Apple Support or visit an Apple Store for guidance to ensure a smooth recovery without any disruptions to your access. The exact steps and timeline of the recovery process can vary, so getting personalized assistance is often the best course of action.