I walk or cycle on Bridge Road regularly, can I still use it during the construction work?

Yes, all the time. Even when we have road closures (see similar question here) there will be a safe route for pedestrians or cycles available through the construction site. Please be careful though, you can expect numerous changes to the layout and level of the cycle route throughout the works, so please stay alert. There may be some localised areas where there are pinchpoints or where signs advise you to dismount due to the site conditions.