So 60 miles a day, presumably per working day * 250 (average days worked once holidays, etc taken into account) = 15k a year, plus whatever you use on weekends. Let’s say 3k a year.
Average petrol price is 1.32/litre, so that will cost you £2769.56 a year.
Switching to a 50mpg diesel (average price 1.406/litre) will cost you £2301 a year. So £468/year saving, or £39 a month.
The diesel will cost more to service, but maybe less in insurance and probably less to tax. You’ll almost certainly have to spend more to get an equivalent (age, mileage, spec) diesel car, especially if you buy at a dealer and trade in. Modern diesels have a lot of potentially expensive failure points too (injectors, dual-mass flywheels, etc) which can make running one out of warranty a bit of a gamble.
If the car is otherwise sound, I’d say you’re better off keeping it – 39mpg is fine, and with the petrol/diesel price gap (which is only going up) it makes less of a difference anyway.