I think you have an existing but expired passport…you can renew which is a quicker service than getting a new adult :
To renew a passport takes about 3 weeks (72-83 GBP) . Look at this link: https://www.gov.uk/renew-adult-passport
There is also a Fasttrack that takes 1 week (103GBP) or premium which take 48+ hours (128 GBP), see link https://www.gov.uk/get-a-passport-urgently
For Children to get their first passports (below 16)
A new child passport takes about 3 weeks (46-56 GBP): Look at https://www.gov.uk/get-a-child-passport
As you are their mother you automatically are allowed to apply. (Rita told me that Leahs father got her a passport without asking Rita…but she didnt mind…)
There is also a Fasttrack for Childs first or renew of passport, see above link.
First passport for Adult (above 16)
New adult passports takes at least 6 weeks (72-83 GBP), Look at https://www.gov.uk/apply-first-adult-passport
There is no fasttrack or premium service for first adult!!!
Post office check and send…help to check that all is complete so no restart of the process
When its a span in the cost the upper one is for the Post office “check and send” service htat my collagues recommend.