Bzzzzt. You just said, "I am you are/he is/she is Tony." There are two verbs in Spanish meaning "to be" and that sentence had both.
Both Ser (Soy, Eres, Es, Somos, Son) and Estar (Estoy, Estas, Esta, Estamos, Estan) are verbs that mean "to be". The difference is Estar tends to be "temporary" and Ser is "permanent". "Estoy boracho" means "I am drunk" indicating it is a temporary condition. You will eventually sober up. Estar also is used with location. "Estamos en Mexico" means "we are in Mexico."
"Soy Tony" means "I am Tony." Because your name is a permanent condition. You will always be Tony. It is your name. It is permanent. You also always use Ser when talking about time (even though could be considered temporary). So you'd say "Es la una" to say "It is one o'clock" or "Son las dos" for "It is two o'clock" (or any other time >1).
The other way to tell someone your name is "Me llamo Tony." Literally, that means "I call myself Tony" and it follows the same structure as the question "؟Como se llama?" which is roughly "What do you call yourself?"
It sounds complicated if you've not studied any Spanish at all, but the good news is once you understand how the verbs, nouns and adjectives work in Spanish is is pretty consistent. Most verbs conjugate the same way and but there are a few irregular verbs that you just need to memorize. Spanish also differs from English in that there is the concept of familiar and formal verbs. ؟Como se llama? is the formal way of asking someone their name. ؟Como te llamas?" is the familiar. Usually, you start with the formal and once you get to know someone, the familiar is used. It is sort of like calling someone "sir" versus "dude". In Mexico, generally, you can refer to those younger than you with the familiar -- especially in situations like the bars of TJ, but you show respect for older people by always using the formal. If you're dealing with cops or other authority figures, always use the formal.
The other good news is most of the language lessons start with the converstational "hi, how are you?" "where are you from type?" dialog and you don't need to get into irregular verbs, posessive or reflexive verbs and all that other stuff. You can also find podcasts online with introductory Spanish phrases.
You can google phrases like "Mexican Spanish phrases" or variations to find some of the slang terms and there are other monger boards that have sections on cover vocabulary for the monger in detail. Not sure how mpnet likes external links, but this page has a list of phrases that might come in handy in talking to chicas in TJ [except the payment terms, as it is a page about romantic phrases]
http://www.learn-spanish.com.mx/spanish-phrases/romantic-spanish-phrases/
You need to be careful using slang terms on two fronts: 1) it might be slang for another country and not familiar to Mexicans or 2) it might be really offensive (even to a working girl). In the beginning err on the side of being clinical in body parts versus using slang. There is also some words like "leche" which mean "milk" in every day conversation, but it means spoo when you're in bed with a chica. You don't want to freak out if you see massageplanete con leche on the breakfast menu, and if the chica is asking for leche in the room, she doesn't want you to run down to the Oxxo for a carton of milk.
Like Fireballs said, all but the girls who just got off the bus from the country will know a little English and will ask you your name, where you're from, etc. The may not have a clue how you answer, just as you may not understand them if they answer in Spanish. They'll know the basics "sucky fucky" and condom [condَn in Spanish] use. No means no in both languages. "Sucky no condَn?" will get your request across. And the girls will know numbers, of course. A good mesero [remember to tip] can also act as translator to close the deal with the girl. The girls at Adelita, Chicago Club and Hong Kong deal with Americans (Canadians and others from around the world) who don't speak a word of Spanish OR English. Some of the girls speak English really well. In other words, enjoy yourself and don't worry about the language barrier. Sex is the international language.
I've found in my travels anywhere in the world, the people do appreciate you at least try to speak their language, if nothing more than being polite like "hello" "goodbye" "thank you" "excuse me".
You can go to school for years and not learn mongering Spanish you might pick up in a few weekends in Mexico. They didn't teach me slang terms for body parts at school. I use the sessions with the girls to improve my Spanish skills both when I'm having a drink and talking about whatever, and in the bedroom. I will point to a body part and ask her how to say the word in Spanish. Many of the girls want to learn a little English too so it can be a playful game. She'll better her marketing skills knowing US slang for what her customers want.