OP,

It appears you are currently employed outside of the US and looking to relocate to the US?
You cannot be employed by two airlines simultaneously.
Also your first year may not be the best time to relocate, most has been mentioned already.

• Training
• OE
• Consolidation

Will take the better part of 9 months,
Once you’re somewhat familiar with the system you and your family can decide if you want to live close to a base and if now what an easy (paid) commute would be or if you can even continu to live outside of the US.
Best of luck.