Unfortunately, there is no one best way to find a relationship oriented quality guy. If there were one, you'd see a line of guys waiting, wrapped around several blocks.
Relationships are built - not found. You want to adopt an open-minded attitude, post your profile on a few dating sites, and see what comes out of it.
There is really nothing wrong with saying that you are relationship oriented. Make sure, though that you do not come too strong with this. Most people need time to decide if being in relationship with this other guy works for them, and for you, too.
Start by saying that you are interested in dating. Stop short of projecting an image of a guy who is hunting for a husband, and who has it all figured out anyway. This puts the other dude in a position of being an ancillary in reaching your personal objectives, with him having little or no say in this. Hardly any quality dude would go for this.
Be prepared to understand that definitions of a "quality guy" vary from one dude to the other. I have come across a few guys who thought of themselves (as most people probably do), as being a "quality" dudes. Well, not so in my books...
Some people will invariably equate your quest for a quality guy with someone who is a successful professional dude. If this is how you feel about your definition of "quality", say so. It may save you a few wasted dates.
Be prepared to meet dudes who will interpret all of this, as HikerSkier pointed out as a search for a rich husband, because, to a degree, this is an impression that your profile may create with some people. This is where you want to emphasize the fact that you have a successful professional background, and would like to date similar guys.
A good dating advice is to project an image of someone who is looking for a symmetrical, fair dating experience.