Accordingly, for general use, an 8x42 is probably the most popular size these days.
Another thing I like to do is use binoculars. Your idea of getting a 10x50 is very reasonable, although I don’t know that particular model. But 10x50 is a good size for hand held astronomy. Not too big or too high magnification to hold by hand for most, yet big enough to gather a decent amount of light. Nevertheless, some people find them to be a little bit on the big and heavy side, and if you intend to also use the binocular during the day, especially when walking around, a smaller lighter pair would be more convenient. Accordingly, for general use, an 8x42 is probably the most popular size these days. Personally, my most used binoculars are even smaller, with my current favorite being an 8x32. But anyway, a 10x50 could be a good choice and would certainly still be useable (and see a lot of use) even if you later decide to get a smaller binocular for walking around with and/or a larger one for astronomy only. 10x50 and 8x42 are kind of right in the middle, size-wise, so either of those would be a great way to get started.