Using both can be a little tricky at first, but once you get the hang of it it's not so bad. Going to an in-person agent is recommended...for some reason they are a lot stricter with online transactions. I use W.U. mostly, though have used MG without any problems. I go in person, usually use my real name and info (you can't get your money back if it can't be picked up for whatever reason if you don't) but occasionally use an alias if I'm doing a lot of them within a short time frame. Just make sure to look at the printed receipt they give you before you leave and verify that both your name (or whatever name you choose to use) is spelled the way you want it, and your receiver's name is exactly right. Also verify the destination city and country and amount. If there are any errors have them change it right then and there - it's much easier for them to do it then for you to try and change it later. Sometimes it can take a while, especially if the clerk doesn't know what they're doing.
And yes, when sending to Mexico do NOT choose the "banccomer" option or whatever that is - I always send "money in minutes." Also helpful to know is that the province or state for Tijuana is "Baja California Norte."
Like I said, a little tricky at first, but you'll get used to it
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Oh, and they will ask for I.D. for anything over $1,000.00, FYI.