D.B.
Don't start in immediately looking for other employment within the company, even though they asked you. They may be trying to find out if you are just using this entry position as a stepping stone. It's a seasonal job with a likely end date. Distinguish yourself in that job, showing you are loyal and hardworking and able to focus on the task at hand. If you immediately bail on this job, you make work for those who hired you. If they spend time training you, you can't just hop to another position unless it's in the same department. If you do well and they come to you, that's another story. It's fine to show you are interested in something at the end of the season job, but for now, use this as a chance to be sure you like the company, and to be sure you can adjust to leaving your kids. It's kind of a win-win. Meantime, if you get called for other jobs you had already applied for, go check them out. Do not tell them you accepted another job. If you do decide to opt for one of these positions BEFORE you start the seasonal job, give the seasonal people plenty of notice, but don't plan on trying to get in there later on - they will consider you someone who jumps ship whenever more money is dangled in front of you.