Posted: 04/11/2017 at 16:52
Do you plan on leaving your dogs out in the garden all day with no supervision ? Presumably you know their habits and whether they are likely to tunnel, dig or WHY and whether or not they are likely to jump over fencing and to what height.
How you actually want to ensure that your dogs don't get into neighbouring properties is really up to you. As a dog owner, you will no doubt be aware of the problems and have some idea from your previous house as to the best way to tackle this.
Get in behind the shrubs and see exactly what the fencing is like and where it needs to be replaced/strengthened and then allow yourself some time and money to secure it before the dogs run free. What you actually get rid of, prune drastically, etc. will probably depend on whether you are making a garden for yourself or just an outside area for the dogs.
Your neighbours will thank you for thoughtfulness