caribflyer
Currently applicants need 3000 hrs total time and turbine experience to get an interview as a DESO. If you have more that 1000 hours and a few other requirements that can be found by doing a search you can put in an application.
On the subject of bases back in the US on the pax fleet. Current time to upgrade to JFO is almost four years. Realistically you won't be able to apply for a basing in the US (LAX or SFO) and have it awarded to you until you have been with the company for 6 - 7 years and are on the B744 fleet. Almost all upgrades are done on the A330 and B777 fleet which only flies regionally. This would require a fleet change which won't happen untill you have been upgraded to full FO for at least one year.
Hope this helps