I do a fair bit of fishing off rocks in Cardigan bay that sounds similar. Not beach casting, but you still need to cast, rather than chucking it over the side as per boat fishing. What properbikeco suggests is similar to what we use, you can actually cast quite a long way with something like that and the correct technique.
If you want to get decent stuff you can’t go far wrong with Shakespeare/Daiwa/Shimano. Tons of online angling shops cutting each other’s throats on price.
Don’t underestimate just how many little bits and pieces you need – weights, hooks, swivels, snap links etc – and it’s well worth getting some pre-made rigs like mackerel rigs and 2/3 hook flappers.