Can you keep a Lovebird and atiels in the same house (separate cages obviously)?

We have an opportunity to adopt 2 atiels that have always been together so we most likely will take them both, but there is also a Lovebird that is also up for adoption. I would have no problem taking the 3 but would they be ok to live in the same household. I would obviously have them in separate cages and not allow them to interact together without myself or the wife there to supervise. I just don't want them to be squawking at each other all day or have them fight if we have them out together or have one stress the other out. Basically I just want to know if it's a good idea. Thanks!