Your budget is reasonable for a home near Downtown Houston, I have recently sold 9 homes in the Houston Heights area and in Rice Military near Memorial Park. I specialize in close in neighborhoods and I work with buyers, sellers and builders. They will have small yards, but they are large enough for a small garden area or a pet.
Most are 3 story homes, but I have just sold a lovely 2 story 3bed 2.5 bath, new construction close to Downtown, inside the 610 loop which was still under construction. You must be able to make a very quick decision to purchase a home in this market. There is a great deal of competiton with other buyers for the type of property you are interested in buying.
If you have any questions,and are not currently working with a Realtor, feel free to contact me.
I wish you luck in your search.
Myra Ephross ABR,ASR,ALHS, CNE,CHMS
Prudential Fine Homes International*
Prudential Anderson Properties
711 East 11th Street
Houston, Texas 77008
281 650-9779 cell
* Fewer than 7% of over 70,000 Prudential Agents worldwide have this designation
In Houston, Texas I am the only Realtor with this Designation for the marketing and
sale of Luxury Homes.