Thanks Rick
All I can offer is to go through how I use my phone.
Below is the sort of adapter I use. One thing I like about it is gives me some flexibility with the spacing between the eye lens of the eyepiece and the camera as different eyepieces have different spacing requirements.
I also focus the scope to the phone, not my eye. This makes a huge difference.
I normally use a 25mm plossl as my lowest magnification. A 40mm has a very long amount of eye relief, which may result in difficulties with getting a good image.
You can take single frames, or you can take a video and then process the video in exactly the same way as any other astrophotography processing, using the very same free software. You can use this method not just for lunar photography, but planetary and there are some people who are also using the phones for deep sky objects. For lunar and planetary, you don't need a tracking mount as the exposures are short & software aligns the frames. For deep sky photos, tracking is more important as the exposure times are longer.
Below are a couple of pics I took of the last lunar occultation of Saturn. I used the same phone adapter as it is the only way to hold the phone in the same sweet spot of the the eyepiece and get the same image quality consistently. All single shot frames. I used a 9mm TMB eyepiece for the first three shots, and a 5mm TMB eyepiece for the last. One thing you will notice though is the Moon is either exposed to get Saturn right, or Saturn is very under exposed to get the Moon right. This is because of the huge dynamic range difference - the innate difference in brilliance between the two objects. This is unavoidable, and difficult for most cameras to deal with.
Alex.