If you want spuds that dont burst when boiled.. you need to choose carefully. Avoid most large white potatoes and go for a medium sized spud with a waxy, yellowy skin. They ones I would recommend are either Charlottes or Nicola's.
Tonight we are having boiled spuds so I dug up some Nicola's this afternoon. They will not be peeled and will hold their shape and cause no problems. Tommorow we are having a roast, so I will dig something that will be white, flowery and will flake apart for roasting.
You are welcome to help yourself hc .. and feel free to load up with beans and carrots. Having a job to get rid of a glut of everything.