If I use XHTML transitional doctype then will it show (in my portfolio) like I'm not a professional expert?
It is for one client who is not paying much for work, and he doesn't know about Web Standards. I want to use some deprecated or presentational item to save time so what should I give to him?
or
What would be good if I add that site in portfolio?
Use whatever you comply with. Using a "strict" doctype will not prove you're a "professional".
Professional developers don't get hung up on the doctype definition you use, unless you have no doctype. What matters is the structure of your portfolio, both visually and in your markup/css/javascript.
Using a "strict" doctype vs. a transitional doctype has nothing to do with how "professional" you are. If you look at StackOverflow, you'll see even they use HTML 4 as their doctype, not even XHTML, and they did that as an intentional design choice, not an afterthought.