General Question....

I am going to finish with Instrument, Commercial and Multi at a 141 university and leave to get CFI at a 61 flight school or a 141 that i can find in my area. OR wait a little longer and go to school and gain hours on the side.

Is it 'okay' to go from getting IFR, Commercial and multi at a 141 University school, then maybe go back to a 61 school for CFI. Since i noticed ATP doesn't offer the CFI ground, i guess it is OK?

Right now i have the Aviation major and im looking to avoid it now. Doesn't really help me if something outrageous happens.