Video otoscopes have become quite inexpensive, and deliver surprisingly good images. They can also be used in the nose or mouth. Using a disposable plastic speculum on the tip of the camera - as show in the video - may make it less likely that you will injure the child's ear, but in some cases it can make it harder to get a good view of the eardrum.
Although there are many brands, I have had good results with these models, which cost under $40. The first one is more compact and easier to handle, but does not come with speculums (although you can get them separately). The second one comes with speculums and looks more like a traditional otoscope, but may be a little harder to use and brace your hand. The third one has an even thinner camera (3.9 mm vs. 4.3 mm) which is slightly more expensive, but I haven't tried that one yet. The 4.3 mm camera seems to work well and takes standard speculums.
Remember to record and send video instead of still images, since I am much more likely to get a usable image if I can scan through a number of frames in a short clip.
Be careful placing the tip of the otoscope in the ear, always watch the screen to make sure that you are centered in the ear canal and not touching the canal walls. Bracing the hand holding the otoscope against the child's head will also help avoid pain if they move suddenly.