Bassets are wonderful - kindly, affectionate, laidback, happy to walk miles or nap for hours, and so, so beautiful. Their bark is a real Big Dog bark, and when they bay, it's like singing.
BUT, they also weigh a ton, get very sad without human company, have a very specific bassety smell (like biscuits, I think, but my nose has retuned itself), they shed year round, are tricky but not impossible to train, and can steal food from counters you can't believe they can reach. Luckily, their positive traits normally make you forgive all these foibles.
If you're thinking of getting a basset hound please make sure you go to a responsible breeder who tests for various conditions - there are a lot of puppy farmed/backyard bred bassets because the puppies are so cute, and the resulting health issues can be a heartbreaking nightmare. The Midlands Basset Club website, mentioned above, is a great place to start, and there are branches nationwide. Basset Welfare is also a good reference point; you get very realistic advice about ownership.
I love beagles too, but they are way too high energy for me. I've never met a beagle owner who didn't use the word 'naughty' within 60 seconds of introducing their innocent-looking hound.