I am not sure why you are being specific about being a vet. I guess it does give an advantage with some stories because of the unique experiences you might have.
My biggest problem when I was first introduced to the scene was day2 and beyond. I could get #s fairly easily but also presented a needed persona afterward.
I was always concerned with 'how many days do I wait to call' kindof stuff.
Here is the thing that I have discovered twice. It is very difficult (but certainly not impossible) to present a 'non-needy' front until you are truly not needy. It takes thought and effort to not do it. That is, until you have a bunch of options to choose from. When you have options, it is very easy.
I did get a girlfriend in that last a couple of months. I did not tend my stable and all the little horses ran away. When I ended the relationship, I was right back were I started as far as the effort required to not be needy. I did lose a girl because of this. It took me a couple of weeks to rebuild the stables back.
Now I am sitting fairly well. I have many options to chose from. I do not even go sarging now because I meet people anytime I am out and as such, I do not specifically go out to look for people.
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Recommended reading list.
Double Your Dating by DD
(This will work on your inner game)
http://www.freewebs.com/xfman/
(This will work on your outer game)