I tend to have the opposite problem of trying to put books down so I can do other stuff.
My advice to you is to start reading material that doesn’t take much time to get into. Depending on your interests, it might be magazine articles, short stories, or a fluffy novel in your favorite genre that pulls you in immediately.
It sounds like you consider reading to be a virtuous habit you cultivate. While your ultimate goal may be to read substantive material like informative non-fiction or literary fiction to better yourself, it might be better to break the process into two steps. First, get used to reading and enjoying it. You’ll have an easier time making it a habit if you approach it as a guilty pleasure than a chore. This means don’t require yourself to do it on a set schedule if you don’t feel like it, and don’t get upset if you don’t read sometimes - even for extended periods. After you’ve been thoroughly hooked on reading, then you can proceed to step two and start to throw in the occasional classic or informational text as you’re so inclined.
If you haven’t yet, start using the Kindle (or other ereader) app on your phone. You’re probably used to having your phone with you, so that means you always have a book at hand. The supermarket line is long, you’re a few minutes early for school pickup, you’re stuck in the kitchen making sure dinner doesn’t boil over or scorch - great! You can sneak in a few more pages. While phones are hard to beat for convenience, you might find that an ereader device is easier on your eyes because it doesn’t emit light like a phone. Also, take the time occasionally to browse through a library, bookstore, or used bookstore. While reading on a phone is convenient (and my preferred format), browsing through the Amazon website or Kindle store just isn’t as engaging as browsing through the shelves of physical books.
Happy reading!