TR
The current mood is toward integrated although CTC will gladly accept you as a modular student then and take your money with little or no real chance of an airline job at the end.
I wouldn't advise an independent TR either, they can cost anything from 14k to 20K and again no guarantees of airline employment. In any case, I think an airline would make you go through their own airline specific TR again within their own TR/Base Training/Line Training program. Of course, that is if you are fortunate enough to get into one of the airlines in the first place. External TR's are non-airline specific even though it may be on a A320/737.