To think I have no choice but to report the neighbours?

I suggest you approach your neighbours with solutions rather than more problems.
More likely to avoid an escalation rather than a resolution.,

I feel for you, I have neighbours whose kids are in the garden screaming shouting and banging for hours on end. Even when they’re not Im waiting on edge for it to start. My neighbours darling barks sometimes, it’s to be expected. But constant noise is awful.

I'd move. I know you've got the place nice, but how can you want to live there for a long time when living there is so miserable? It honestly seems like a sunk costs fallacy/cutting off your nose to spite your face type of thing to me.

If you report them what improvements do you honestly think will occur? I suspect that you'll report them, the noise monitoring equipment will be installed, the council will speak to them about the nuisance and nothing will change. After all, you've already spoken to them and did absolutely nothing, so unless there is some kind of enforcement or punishment that the council can impose I wouldn't expect any positive changes, if I were you. So if the situation is never going to change until the damn dogs kick the bucket I think I'd just move. What price peace and quiet? Priceless IMO.

Nice bit of victim blaming there!

Maybe it'd be worth showing the log to your neighbours. And explaining the impact this has on you. Point out that there are a number of actions they could take which might help (eg arranging for the dogs to be exercised) but you're at the end of your tether and if there's no change you will have to go to the council... If they're nice/ considerate people, they will do something, and hopefully you can remain friendly.

Report it to the council. My council has been very good over the years and it's only required one report for the noise to stop (different dogs barking constantly, one was a child screaming a lot, also had out of control bonfires by one neighbour over the back). The only way I knew the various neighbours had been spoken to was by how bloody quiet and peaceful it became. No issues with selling my house as it didn't become a "dispute". You won't regret it OP, report.

Is your landlord also the neighbours' landlord? If so I'd be pointing out that they are the problem here. Let's say you moved: the next tenant might make a complaint that goes on record. The solution is for the neighbours to be told they must keep the dog quieter.

Could you speak to them again and suggest some solutions? Explain that it’s probably because the dog isn’t being walked. You understand that might be difficult for them so could they ask their children to do it and pay a dog walker a couple of times a week. You shouldn’t have to but it might achieve the outcome you want. Like you say, if your report them, will they be able to make the dog stop? Will the council enforce it? How long will that take?

Why wouldthe landlord not wantto hear? You have a right to quiet enjoyment. As a one property landlord i would want to know.

You have my sympathy as someone who lived across from a constantly barking dog for 2 years. This is antisocial behaviour affecting the use of your home.
I would make a log diary, gather evidence such as recording the noise inside your house (also maybe talk to other neighbours to see if they have the same issue?) and tell the landlord how much this issue is negatively affecting you and see what they think. Maybe they could be involved with having another conversation with the neighbours and if nothing changes reporting them? The landlords may be willing to help. Personally, as a previous landlord, I’d want to know if a complaint is being made to the council around a neighbour.

She specifically said in the opening post she wants to stay in the property for a long time. It would be remiss to mention this might piss them off and affect this.

Theres loads of stuff we are entitled to do, but those around us may dislike and act out on.

I have said three times to report it. But having seen this situation between neighbours, I would not just gloss over the implications and say report to the council and it will all be ok. That would just be falsely soothing

I really feel for you. I had a similar log last summer. It's unbearable.

Report it.

If you're worried about your landlord can you speak to them first? Excessive dog barking is a nuisance and should be treated as such. No you absolutely do not have to live with it.

Yes as you have let them know and spoken to them. Given them an opportunity to do something about it.

Anti bark collars are a thing. They aren't electric They either vibrate or give a puff of citronella. I wouldn't like to use one but if my dog was upsetting my neighbour I would.

Personally I’d be pissed if I were your landlord, as if you open up a complaint it might become classed as a dispute against the property and affect the longterm desirability of the property. I’d see this a damaging.

Yes, much better her mental health suffers so as not to harm the value of her landlord’s property.

Your comments also imply she’s ‘asking for it’ if her neighbours retaliate because she very reasonably goes to the council because of their own shitty behaviour.

Relations aren’t cordial precisely because these neighbours are selfish and irresponsible. The situation is not of op’s making.

This! My neighbour works away, sometimes for days, leaving the dog alone - and has never walked the dog. Ever.

No, I’ve said twice on most post to report it.

But just be aware that by reporting it there may be consequences, and you can’t get away from that.

A neighbour of mine reported another neighbours dog, relationships then turned very frosty. The neighbour was most upset about that- but it was inevitable. It will change the dynamic with your neighbour, and it may change the relationship with your landlord. You should just think these things through and decide if it’s a risk your willing to take.

Sadly, reporting them will just turn it nasty, it won’t change anything. The council might agree with you now, but when it comes to it, they’ll be unable to do very much about it. (Speaking from year six of barking, and after noise recording equipment installation.)