Welcome to BCUK!
Like Mary (Toddy) I use a twig kettle. There are several threads here about them. Use a search engine with a search something like
"kelly kettle site:bushcraftuk.com"
or
"ghillie site:bushcraftuk.com"
Mine's a Ghillie Kettle, the only real difference from the Kelly is that it has a whistle. There are several sizes, mine's about 1.5 litres which makes a couple of drinks for a couple and is a good size to fill a hot water bottle, but if you have a double sleeping bag you probably won't need one.
There are both aluminium and stainless twig kettles. I keep meaning to treat myself to a big stainless one when my Premium Bond number comes up.
I only use the kettle for boiling water. It's a bit inconvenient for cooking but as Mary says you can cook over the base. I wouldn't try to cook over the chimney of the kettle because it would be a bit like cooking over the after end of a Typhoon at take-off -- a big flame, briefly. The thing is the water boils really fast (dangerously fast if you aren't careful as you'll see if you use my searches above) and then you're more or less obliged to take the kettle off the heat. Having said that, using twigs to boil water saves on the amount of other fuels that I use by probably 75%-90% depending on what I'm doing.
There are quite a few twig stoves about, and they've mostly been mentioned or reviewed on this site. The BushBuddy and BushCooker are well regarded 'wood-gas' stoves, the Honey and Emberlit stoves and similar don't attempt that feat. There are other examples of both styles of stove and many more styles to choose from. An Aldi stainless steel drainer is cheap and it works.
Look around, there's a huge amount of information. Try a few. Cooking with wood is a bit of an education but well worth it.
There's an active 'classified' section, an Emberlit was on there a couple of days ago. If you buy a stove and don't get on with it you can always move it on. People will probably let you have use of one if you get along to a meet.
You didn't really ask about pans but I prefer good non-stick or stainless. Others have different opinions.