When I did mine I found the most cost effective way was to totally strip the carbs yourself right down to just the body,and find a carb shop that will just do the tricky bit for you ie rebushing the spindle and butterfly etc if needed.
I'm sure if you ask you should get some recommendations. SU Midel certainly do an amazing job and plus the carbs come back in better than new "super-bling"polished condition so you pay for that really.
Try and find an old school Carbie place to do it. I was going to order the other parts myself but I found they charged less anyway so i just got them to get me the parts i needed. Most places would get the bits from Midel anyway.
Reassembling and setting up the carbs is not that difficult, just keep careful note of where everything goes. There's plenty of guides online or just ask here if you are not sure.
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68 Morris Cooper S Mk1 (*ex 78 1275 LS 4th last built, 70 Morris 1500 OHC & 70 MiniMatic)