If it’s Openreach fibre, the website has info of the CPs that offer fibre broadband. If it’s an alternative supplier renting space on the pole, you’d have probably been leafleted or Facebook spammed to let you know who the supplier is.
Either way, if it’s pole mounted fibre ports, it might not be possible to feed you and your neighbours underground as for that you would have fibre ports in a footway chamber.
If your neighbours want UG feeds across your property, you will need to sign a legal wayleave to ensure there is a future right of access to maintain it.
PS Although the engineers told you it will be ready next week, they may not have the full picture, the main network cables could be waiting for digs or traffic management and that can take months.