Can I file for divorce in one state even though I married in another state?

You must file in whatever state is the "Home State" of the children, that is defined as the last state the children stayed in for 181 days or longer. Look for an attorney who handles "Military Law or Military Divorce".

Yes you can file in your state so long as you have lived there for at least 6 consecutive months

You need to get to a local attorney and find out what can be done. You can file in Florida, and it is probably the best place to file if you have been a resident for more than 6 months, and especially if your marriage was last intact here. Is he paying support to you for the child? There are two basic ways to go: uncontested, or contested. Uncontested is when you both agree on the resolution of all of the issues, and contested is when there is just one issue, or more, that the parties do not agree upon. If it is uncontested, the cost will be much less. So, try to agree with him as to shared parenting, a time sharing plan, the division of assets and debts. The amount of child support should also be agreed to, but there is a specific statute that must be followed.