We have this data at MCDC.
Start at https://mcdc.missouri.edu/cgi-bin/uexplore?/data/acs2010/base_tables_5yr
For table B01003, you need the "ustabs00_075yr.sas7bdat" dataset (contains tables B00001 through B07999)
In the query form, you want just block groups, so create a filter: sumlev = 150
You also just want Miami-Dade County, so another two filters: state = 12 and county = 086
In the section where you choose variables, select all of your B01001 vars in the right box. (for some reason we don't have B01003 in this collection.)
This should give you what you need.