I am 50 years old and have NEVER used dry-cleaners because I read once that the chemical that they use - - percloro-somethin'-somethin' - - was like lighter fluid and the leftover fumes that fill your closet have been linked to cancer.
So, if I were you, I'd check into one of those new Eco-Cleaners! I know there is a new one in Keller on the NE corner of Tarrant Parkway and Rufe Snow. But that's too far from Flower Mound.
What I do is just hand-wash, dry-flat. I remember how scared I was at age 22 - - my first time to put a dress that said "Dry Clean Only" into the washer on "hand-wash cycle". It came out perfectly fine. I thought, "Oh, they must just label a lot of stuff like that to cover their liabilities in case someone shrinks it in their home washing machine"; and ever since, I'm not scared to try. But I have a nice front-loading washer from Sweden - - I wouldn't try it with an agitator.