I'm not sure about how the programs work in Central Houston, but I know that in my area (Katy/W. Houston), most MDO programs start between 15-18 months. I only know of one that starts at 12 months.
Your best bet is probably a church program. It may take some calling around to find one. I was able to find an MDO program that took my 4-month-old here in The Woodlands (StoneBridge Church) but many programs only take them after 12 months, as a PP already noted.
Re: Mother's day Out - for 6 month old
if you don't find one for 6mos, the program my dd is in starts at 9months - we are by the galleria.
https://bethelofhouston.com/mothers-day-out
Your girls are beautiful!
Your best bet is probably a church program. It may take some calling around to find one. I was able to find an MDO program that took my 4-month-old here in The Woodlands (StoneBridge Church) but many programs only take them after 12 months, as a PP already noted.