For first shoes when toddling (to give a little more grip & purely for indoors use), I used Daisyroots. I think after that we used Clarks (which I wasn't 100% happy with, as they weren't that great).
Since then we found a good 'end-of-range' shoe shop that sells both Clarks and Start-Rite. DD has v.wide, wedge-shaped feet so it can be hard to get a good fit for her. Another good shop we found was Russell & Bromley. I don't know whether it is purely the Oxford branch, or whether they are all the same, but they have a great range of lots of different brands and the staff went to a lot of effort to make sure her shoes fitted properly (they also normally advise going back after a few weeks for a re-fit, to ensure they are still comfortable).
If you get summer sandals, and your child has wide feet, try to find some that have a velcro fastening over the toes as well as the ankle. A few years ago Clarks did no velcro over toes and the width only went up to an F fitting. No good for a child with an HH width.
Years ago when we lived in the Northants area, we used Shoebox. They are a mum-owned business who import nice/pretty/colourful shoes from other parts of Europe. They also cared a great deal about the fit and were well-priced. Lasted really well, too. Hopefully your child will have average feet, but we have often found that in the higher width fittings, there is often only one or two choices per manufacturer - so DD will see all the pretty shoes in somewhere like Clarks, but often find that only one seriously ugly style is made in her size that season (according to the staff at the branch). European shoes seem to have a much better range of choice.