Bridging a car gap

Glitteryfish

Family of 5 living in outer London Borough. Youngest is 1, older two are 9 and 12. 
We don’t drive that much (5000 miles a year max) but we do appreciate the convenience of having a car. Most of our trips are local and include things like rainy day school runs/ trips to the dump / diy store/ days out / giving lifts to elderly mum etc. We do most shopping through online supermarkets  and Amazon so delivered to door. School’s are each about 30 mins walk away in roughly the same direction but not on a direct bus route. 

Our ancient car died on us last week and isn’t financially viable to repair so is being scrapped. We’re applying for an electric car lease with gov grant through DH salary sacrifice scheme BUT car will not be available for at least 3 months. In the interim 
should we?

A) try to ride out the three months using Uber’s /zip cars and walking Rainy days / very hot afternoons on school runs will be a bit stressful and a pain with little one in the buggy but doable I guess before weather gets crappy at the end of the year. School run not on direct bus route. 

take out a short term month by month car lease to cover us. A quick google came back with quotes of at least £400+ a month for the size of car we need which seems scarily steep! 

C) buy an older car locally for £1k or less with an mot and hope it lasts the duration before selling it to we buy any car or similar. We have AA membership. Considering a category c but wondering how steep insurance would be? Also a bit worried about safety since we’ll have a baby in the car (isofix is a must do can’t get an absolute banger). 

D) something else I’ve not thought of?