Decide what path you want to go down, do you want to go general transport involving nights outs, varied work or do you want a regular job where you go home at the end of your shift?
If its the latter, i’d try directly with Asda and their like, preferably supermarkets or other businesses who carry their own goods.
Pester them if needs be, on those proper jobs they have large numbers of older drivers coming up to retirement, they might have statutory 2 year experience requirements but they might not, also if you get a positive reaction but get told come back and see us when you have 2 years under your belt, answer them positively keep a note of the name and follow it up in two years time.