You are probably thinking that being the concierge to the executive of a big company will be a piece of cake, think twice. Although you will make good money being someone's personal concierge, it is a very challenging job in which you will be expected to deliver what has been asked of you, on time, with a smile. That said, you will normally be paid very handsomely for your services.
Your name must be unique, and not deceptively similar, to any other trademarked name or business. It is also required that your name not be used to intentionally misrepresent the products or services you offer. For LLCs, nearly all states will also require you to add a signifier of your limited liability status, such as "LLC" or "L.L.C." to the end of your company's name. You may be able to operate under a name other than your formal LLC name by applying for and using a dba.
Where the equipment you use in your business was acquired as a gift, you may report your estimate of its current market value on the Business Property Statement (that is, what you think it would sell for in the open market place). Enter that estimated value in the most current year's cost line and add a note indicating that the entry is an estimate.