I think this is perfect and polite ... if it is true ~ are you indeed willing to have them contact you in the future for full time care since mom is waffling on what they need while dad looks for work?
I definitely agree with Kidlove in that you are not obligated to take on every client who shows interest in your business ... and their behavior is all RED FLAG issues that your gut should listen to ... they are all signs of 'disrespect' towards you and your time ... forgetting the first interview, showing up LATE for the second interview, telling you one thing to GET the interview and than trying to change the commitment afterward ... all things that would get them a 'thanks but no thanks' from me as well!
When I have a space and someone is just not a match for it even if I do not have anyone else lined up or interest I just state 'thank you for your interest in the program however at this time I have opted to go another route' and leave it at that ... because that is still the TRUTH and if they assume that means I filled the spot than that is their prerogative ... another route could mean so many things ... like I just want full time or shorter hours, it could mean I decided I want an older or younger child as a better match, it could mean I decide I just want to 'sit' on the spot a bit longer rather than fill it right away ... but ultimately it means that I am heading in a different direction away from serving them and I do not want to be specific about that reason in case they try to call back and say 'ok we can XYZ instead' and than I am stuck with having to come right and say 'sorry I was trying to be polite before but I just do not want to serve you regardless' ... cause that would be ackward![]()