I think the kit you mentioned has just about everything you need to get started building, but I would recommend grabbing this one with the parts separator. Dry fitting your parts is very useful, but some of the easy build and new poses can be a headache to get apart again.
I would also recommend upgrading the side cutters to a quality pair like these from Tamiya. They are a little more expensive, but they allow you to be much cleaner and more precise with your snipping.
The technique I do with them is to use my cheap cutters to cut at the sprue, quite far away from the model, then go back in with the nice pair and clean the piece up when it's easier to manipulate.
I also recommend Tamiya Extra thin plastic cement with its brush applicator, but Revell do a glue in a similar package to GW's plastic glue. This is again a preference thing when it comes to what applicator you like, but definitely make sure you get plastic cement. It works by melting the plastic a little bit to form it's bond, which makes the model stronger and can also help to fill some gaps. It also has a more forgiving (longer) dry time compared to super glue.
Also speaking of gaps, I'd grab some Milliput.
It's a two part putty like green stuff, but I find it's more user friendly and way better value.
You're looking for a mid-grade nipper then. There's a couple of those, luckily. Generally in this tier you've got three typical choices- Mr. Hobby, Tamiya, and USAGundamstore
https://www.usagundamstore.com/products/usa-gundam-single-blade-nipper
https://www.amazon.com/Mr-Hobby-MT106-Single-Nipper/dp/B08FCDS8ZX
All three of them are perfectly fine mid-range options and you can't go wrong with them. This knight has used them all plenty over the years for testing purposes, so I can personally attest to them. So just pick whichever of the three you like the most.
Keep in mind that even though they're mid-range you'll still want to carefully cut with them, as in terms of engineering mid-range nippers imitate high-range nippers, meaning they can potentially break if used poorly. Because of this it's ALWAYS recommended to have a shitty nipper on the side that you use specifically for cutting particularly hard parts (aka resin parts or clear parts, the only two kinds of hard plastic most of the time). So get one of these three for your general cutting, and then use your older pair to take care of cutting harder plastic.
Let this knight know if you're curious about anything else, friend.