Some tips to save you money and frustration:
Before doing anything check existing foundation bearing capacity. Spending money on design of this new room will all be wasted if the foundation is not capable of supporting new live and dead loads.
Set some sort of budget for this new room (either what you can afford or what you are willing to spend), with a contingency of at least 10% (if the cost is $15,000, a total budget of $16,500). Bid the entire job out, get all bids in writing. There is nothing worse than remodeling the home you live in and running short of money.
Hire DULY QUALIFIED PERSONS to make all investigation as to structural design and existing parameters. This is of paramount importance, you alone will have to live with mistakes made early in the process (mistakes are very expensive to correct).
Remeber this, it costs what it costs. If costs exceeds your budget DO NOT START, rather, explore ways to increase your budget or ways to limit the project cost (which may be non-existent). In any case, it is far better to live in a house that is to small, than dealing with the stress of an uncompleted one.
One other, but very important thing is construction plans. Be sure that all structural elements are properly detailed DO NOT leave this up to a contractor, this could spell disaster.