You really need an attorney and you have many many many many things to think about.
1st - is your daughters father's name on the birth certificate? If not, you will need to establish paternity.
2nd - did you get PERMISSION from him to leave the state with his child?
I don't think a court would force you to move back somewhere, but it depends on if you got permission to move, and how much dad is willing to give as far as reducing his time with his daughter.
There are ways to make it work in Dallas - you can apply for welfare / child care grants until you get on your feet. But I definitely understand needing your support system (mom) and the judge will probably factor all that in.
Typically vacation is mandated by the state of residency, you will have to consult with a lawyer in Florida, because residency and custody will vary by state - don't take our word for anything on here - we are not attorneys.
That being said - I live in a different state from my daughter's father. She was a bit older (4) when we were divorcing. I think there is a different visitation schedule for parents when the child is less than a year old, but by moving out of state you won't really be able to do anything 'standard'. You and he will HAVE to work together or this will cost you A FORTUNE.
Keep in mind that what he has done (or not done) previously unless he has actually hurt or abused his daughter will not likely affect custody. If he says he wants to care for her, then likely a judge will award him some type of custody - that will be affected by distance, him having a safe place for her to stay etc. Likely at this point his visitation will have to be where the baby is, and you guys will have to work out financial arrangements - you pay 1/2 of his travel while she's young and then 1/2 of your daughter's travel once she's older.
Good Luck.