You can do it! It does often require some prep work to figure it out, at least in the beginning, but vegan food really is all around. I'd plan on bringing any specialty foods or supplements along (particular bars, powders, supplements, etc.) and then go to supermarkets for the rest. All of them will have fruit, veg, canned beans, and most likely things like almond milk. Many of them are getting better and better at stocking specialty items. Even our local Target and Walmart grocery now sells at least a few things that were previously only available at the health food store. Some folks pack a mini blender, but I find it's easier just to replace smoothies with a Naked drink when on the go because you can find those almost anywhere.
If you can't go to a veg restaurant (I usually find those with happycow), check out http://www.veganeatingout.com
to get info about what's vegan at chain restaurants. Most will have something you can piece together, or if ask you can usually special order. (Not something I like to do, but lots of people do!) Ethnic restaurants are usually a good bet if you need to make plans to eat out with colleagues and don't have a chance to look up anything about the restaurants in advance.
I use an online tool (fitday.com) to track stuff, so that's available anywhere. It can be difficult to find the time to input things though.
Hopefully some of the regular travelers will see this and have more ideas for you. Good luck making the transition!