We had ours done in November 2020.
Same size as yours. At the very end (opposite to the window/where the garage door is) we had a wall with a sliding door put in for the tumble dryer, DIY stuff, ladders etc.
Cost £8.5k including the flooring fitted (we supplied the laminate and underlay), the skip and building regs. We used the original door into the room but had a new door frame fitted so the door would open inwards as previously opened into the hallway. We also had the electric meter boxed in. We had our strip light removed and a normal drop light pendant (I'm not sure what this is called, the type of fitting you can add your own shade!) in both the rooms, had one double socket in already and another 5 fitted. Had a window fitted the width of the garage door. The builders also matched the bricks with the rest of the house.
It required building regs but not planning permission. Our builders were well versed in what was required by building control and took photos of progress throughout (I think to prove insulation, damp proof membrane etc), and the building control officer visited once during the building work and at the end, the completion certificate came a few days later via email.
It took 9 days although that was a couple of mornings rather than 9 full days.
Quotes varied between £4200 (if I wanted to pay in cash not through the bank
) to £9500. Went with the same builder who had done others on the street even though we had 5 quotes and they were the second most expensive.
I can inbox you pics of you'd like.