A new HD TV, that will work in the building I live in

Question

I live in a tower structure apt building, on the 6th floor facing south. No dishes are allowed, there's no place to put em
and it's in the lease. So, all I can get is Comcast cable, for TV. I could use rabbit ears, but I don't think that will give me
very good reception. My question is will a new HD TV, pick up a  good signal, even without an antenna , or a simple
anntenna that I would buy, small enough to fit in my apt, like rabbit ears?
The claim is made they have one built in. How well would this work in a building made  with steel reinforced of concrete walls. 
Also, do I need 720, or do I need to spend the extra to get 1080. Football is much better in HD. But, other programming
is really not that much if any better, in my view. Than the old analog type of TV. 

Answer 1

Please see below from the FCC website:
In 1996, the Federal Communications Commission (FCC) adopted rules for Over-the-Air-Reception Devices (“OTARD” rules). The OTARD rules prohibit restrictions on a property owner or tenant’s right to install, maintain or use an antenna to receive video programming from direct broadcast satellites (DBS), broadband radio services (formerly referred to as multichannel multipoint distribution services or MMDS) and television broadcast stations (TVBS). However, there are exceptions to the OTARD rules, including provisions for safety and preservation of historic areas.
The FCC later amended the OTARD rules to apply to rental property where the renter has exclusive use of an area, and to customer-end antennas that receive and transmit fixed wireless signals.
What Types of Antennas Are Covered Under the OTARD Rules?
The following antennas or dishes are covered by these rules:
A "dish" antenna one meter (39.37 inches) or less in diameter (or any size dish if located in Alaska), designed to receive direct broadcast satellite service, including direct-to-home satellite service, or to receive or transmit fixed wireless signals via satellite.
An antenna that is one meter or less in diameter and is designed to receive video programming services via broadband radio service (wireless cable), or to receive or transmit fixed wireless signals other than via satellite.
An antenna that is designed to receive local television broadcast signals.
Antennas used for AM/FM radio, amateur (“ham”) radio, CB radio, Digital Audio Radio Services (“DARS”), or antennas used as part of a hub to relay signals among multiple locations are not covered by these rules.
What Types of Properties Are Covered?
Under the OTARD rules, an owner or a tenant has the right to install an antenna (that meets size limitations) on property that he owns or over which he has exclusive use or control. This includes single family homes, condominiums, cooperatives, townhomes and manufactured homes. In the case of condominiums, cooperatives and rental properties, the rules apply to “exclusive use” areas, like terraces, balconies or patios. “Exclusive use” refers to an area of the property that only the renter and people allowed by the renter may enter and use. If the area is shared with others or accessible without the