Veganuary

You can just include vegan as a keyword and search for the item on the web. That will bring up sites that will likely tell you if it is vegan not.

For example:

McDonalds French fries vegan

will tell you that their fries aren't even vegetarian.. (has never been a veggie-friendly except in places where sufficient local preferences force the issue, such as in India).

But

Dominos pizza vegan

will give you specifics of what precisely you can order that will be vegan-friendly at Dominos, besides just asking for no cheese on your pizza.

Vegan yogurt
Vegan yoghurt

will point you to any vegan yoghurts available today. Likewise for

Vegan ice cream
Vegan frozen dessert

Also easy recipes for making your own can be found the same way, just add recipe as a keyword.

Simple foods that you prepare at home will be obviously vegan (raw or cooked veggies without sauce or with a definitely vegan sauce, fruit or beans or nuts and seeds likewise, homemade bread and crackers, etc.) Otherwise read labels very carefully. If you aren't sure about an ingredient, just search for it on the web with the keyword vegan added. Look for "plant-based" nowadays, that's generally vegan-friendly.

Morningstar Farms is often available in stores when other veggie brands are not, and they are veganizing their entire line of frozen processed foods (getting rid of the egg whites and dairy in their recipes). Will probably be completely vegan (plant-based) within a year. All their chik'n products and their corn dogs are now vegan and they have a relatively new 1/4 pound burger that is vegan (their vegan cheezeburger is really good). They also already have vegan chorizo and various strips in addition to patties and nuggets etc.. Like all processed foods, their stuff is loaded with salt, though. Same for Amy's Kitchen frozen foods, which has a lot of vegan-friendly options and your local store may have or can get items in the line.

You can easily eat a simple but varied vegan diet if you just think about hitting the basic food groups regularly (in my case: nuts, seeds, legumes/beans, grains, vegetables/ mushrooms, fruit, non-animal fats/oils and sweeteners). A food tracker will easily tell you if you are getting enough protein or fiber or whatever concerns you. My experience has been that it's hard not to get enough protein on a varied vegan diet that doesn't include too much vegan junk food...

A lot of online food sources have vegan food sections, which can help you if you want processed food or sources of simple foods not locally available. If you know what you might want, that also will help you asking your local grocery store to make a special order for you. If their distributors carry it, they can get it for you.

For example, check out vegan yoghurts available now from many dairy yoghurt manufacturers. (I add vegan protein powder to them, since the non-soy-based ones have low protein.)

VeganEssentials is all vegan and so browsing there can show you some of the possibilities. I don't have a car so get a lot of food mailorder, and other reliable sites that do have vegan options include Thrive Market (membership fee but there is a free trial), Vitacost, LuckyVitamin, iHerb, The Gluten-Free Mall, Amazon, even Walmart.