You will not have to travel, generally. You just need to come to work at the office you're hired in. In a bigger jurisdiction, you may be assigned to a satellite office that requires you to commute a bit.
Prosecution is pretty heavy in terms of caseload, however it gets a little better after a few years. I work about 50-60 hours a week.
I have the option to prepare cases from home, but generally, you should be putting in office time. Also, all your investigatory tools are in the office as well!