Glad you found a compromise that works Kidlove.
I am another one who discusses the fact that I do field trips and outings during the phone interview because I would not want to bother having an in person interview with someone who is uneasy about their child being off site as outings are a large part of my emergent curriculum ~ being able to go out and investigate the community we live in hands on ... my clients all sign consent forms for off site trips via walking, public transit and/or my vehicle with a specific section on the car seat position their child is currently 'eligible' for and this gets updated everything their child changes so rear facing to forward facing to high back booster options.
As for attending appointments during the work day ~ if you give your clients a vote on if they were rather their kid tag along for a 10 minute appointment or you to CLOSE entirely they will almost always choose to send their kid to care and have them tag along to an appointment because unlike working in an 'office' where you taking a day off has minimal impact on anyone closing our childcare programs means THEY also have to take time off work or find alternative arrangements with a ripple effect.
Communication is key as always ~ I always give my clients a heads up if I have an appointment that cannot be rescheduled for after hours but that is not so 'personal' that having the crew along is an inconvenience and I have never had a client object and opt for the keeping them home.