If you are not willing to introduce a hilarious arachnophobia mode to your game and wish for an authentic spider experience, Lincoln Margison's free tutorial will help you set up a great procedural movement system for any creatures with 4 and more legs.
The Unreal Engine setup creates a natural-looking movement for spider-like monsters, but if you're considering using it for bipedal models, it's better to find another tutorial, as this system might not work very well with only two legs.
When you've recreated the movement for your crawlies, check out Margison's custom animation system, flashbang effect guide, and climbing setup, which can be found on X/Twitter and YouTube.