The HoP are basically a museum & not fit for purpose for a modern parliament facility.
For a fraction of the money, a new purpose built facility could be built, perhaps near to east mids airport, where there is plenty of land & has existing motorway & air travel nearby.
By all means keep the HoP, but why not involve the private sector to help with funding & turn it into another money making tourist attraction. You could still use it for the ceremonial events like state opening of parliament, but for all the day to day parliament business to be conducted in a modern fit for purpose facility outside of expensive London.
And while we are at it, sort it out so that MP’s can work/debate/vote remotely from their publicly funded constituency offices & start working in the 21st century.