They are very very difficult to train, IME!
I have two. Old boy is 15 1/2 and has gone directly from being young and wilful to old, deaf and senile, with no ground in between! He has never been able to be walked off the lead- he runs up to dogs, which don't seem to share his enthusiasm and often snap at him, which still doesn't put him off. He is completely scent-orientated- much as he loves food, when he or witchy dog, (my other beagle) get a scent in their noses I could be standing waving a pound of sausages and they would still be off and away.
They say don't walk a beagle off the lead unless you have a few hours to spare- this is true. Witchy boo is walked off the lead, but has done a runner a few times. Can take hours to get her back- she will not come back until she is finished with whatever she has been doing, can be incredibly stressful and frustrating.
They eat anything and everything. Can't allow them within any distance of a bin, or near any toys belonging to the kids. I know all pups are a bit like this, but witchy dog is 11 and no better! They will steal food- that is a given.
Their house-training is not always great. Mine think nothing of peeing and pooing in their own bed, then lying in it (bleurgh) Have spoken to behaviouralists about it several times, but never found an answer. To be fair, Old boy used to be fine, but now he is old and incontinent I am just used to cleaning up poo at least once a day and pee 4 or 5 times, despite the fact they are well walked, have an outdoor run, and are let out frequently. Sigh
They are in many ways lovely happy little dogs, with a fun personality, but it's ALL about fun with them. I had a friend who wanted one and who agreed to borrow mine (I only had old boy, he was about 3) overnight. She was soo looking forward to having him, but she phoned me at the crack of dawn the next day to get me to take him back as he was "exhausting"!
I have been astounded by the number of people who come up to me when I am out with the beaglies and say "Oh- what lovely dogs! We used to have a beagle, but we had to get rid of it
" In fact, the reason I have them at all is that when I was a child my parents bought me a beagle, which I loved to bits, then they rehomed him after a year because they couldn't manage him
Apparently the people they rehomed him to phoned them the next week to ask if they wanted him back (I only found this out a couple of weeks ago!)
Don't get me wrong- I love my dogs, they have fabulous wee personalities, but, I have to be honest, I don't think they are a great breed to be pets. They live for the outside, scents and food. Although I love them both dearly (although you wouldn't always guess it when I'm cursing under my breath at their latest misdemeanour!), when they go we will not be getting beagles again- too much like hard work! HTH