As already said, ignore the shape of your roof.
Your instruction to any installer for a quotation is as follows: Please size up for as many panels as possible, and we can remove any sub-optimal locations once the design is complete, or leave them all if the array size is not as big in kWp as envisaged. Please include a G99 application if above 3.68kWp, and ensure the inverter is suitably sized to match this. (It is sensible to oversize these days not undersize if having a G99 done anyhow.)
Other than that, get them to quote for the system with and without a battery, and if not going with a battery to cost/lead times ensure they quote for a hybrid inverter than can have one added easily at a later date. As for a detailed breakdown of the costs and components, e.g. scaffolding, paperwork fees, labour, and parts.
Also don't forget there is zero VAT on home solar installs aright now, so check your quote as I seen one recently where they added 20%!