Just to add my tuppence worth having tried various tyres suggested above -
Toyos are generally s**t in the wet - I've had them a few times previously when I was younger and couldn't afford better tyres.
Falkens are not great either - I had them on my old si coupe - they were horribly hard so didn't deal with wet or dry well at all.
Uniroyal Rainsports are the best choice of the midrange because they're primarily good in the wet which is best from a safety perspective.
Goodyear Eagle f1s are fantastic tyres but a little more of a compromise in the wet compared to Rainsports (who'd have thought it).
Michelin pilotsport 3s are great all rounders but may stretch your budget too much. The new PS4 sits between the old ps3 and supersport tyre in Michelin's range. Thus it is an exceptionally good all rounder, and for me is absolutely hands down the tyre of choice if you're driving the car year round. The wear is very good, mine did 15k and 2 trackdays and still had loads left in them when I sold the car.
End of the day you get what you pay for, if it were me I'd stomach the extra cost for ps4s as you absolutely will get more enjoyment and longer life out them compared to most of the other tyres, and certainly anything in the midrange