New Balance and Saucony have a reputation for offering wider cuts - they're basically the standard when things get tight. Asics and Brooks also tend to run generously wider than other manufacturers in many of their models. The important thing is not to just go up a size; that leads to blisters and is uncomfortable. Instead, you should specifically look for models with "Wide" or "Extra Wide" designations - you can find those from almost all the major brands.
When shopping, it really helps to look at customer reviews online - people with wide feet often write about whether a shoe actually fits or not. A lot of online shops accept returns without hassle, so you can just order two or three pairs and then send the others back. Some local stores also have specialists for foot problems who can show you which width variants they have.
Another tip: specialty shoe stores are often your best bet if there's one near you. They don't just have more selection in different widths, but can also advise you on what insoles might do - sometimes that helps extra with support and comfort.