You need a neutral pair of running shoes - not stability shoes - to start out. At least until you can run 10k or so fairly easily and smoothly, have overcome "new runner" gait issues, and have learned what you like.
As a pp said, Nike Pegasus are a stone cold classic for a reason; as are Brooks Ghost. You can't go wrong with Pegs, and as the 37 has just come out you can pick up a 36 cheaply.
A cheaper option is a Saucony Triumph, usually around £45 on Sportshoes, but a really decent, neutral but cushioned shoe for steady mileage.
ON and Hoka are the Marmite shoes of the running world - best avoided until you're more experienced and know what you want. (I have some superlight racing Hokas but hated the road running Hokas - they really are an acquired taste)
Every new and/or fairly inexperienced runner will tell you you need gait analysis, because that's what they've been told.
Then, if you go for gait analysis the running shop will tell you you overpronate (because new runners almost always do). Then you'll drop £130 on stability shoes to "correct" your gait, and chances are you'll end up with ITB/knee issues because you're correcting something that doesn't need correcting - just as @DianasLasso said. This happens a LOT and puts so many new runners off altogether.
What you actually need is a standard, cushioned neutral shoe, at least while you're getting going. Zero drop shoes, stability shoes, or whatever can come down the road if you find you need them. But few people actually need their gait "correcting"...even though they're told they do