My question is about sports clubs

I'm interested in doing kickboxing or muay Thai or even karate. So I wanted to know if these martial arts are available at the university and if they are what type of levels are there, is there any grading system or like competitions and stuff. Thank you

It depends on the specific university concerned. These sports clubs are often ran by fellow students, so it's kind of pot luck how good the clubs are, assuming they have it. Some clubs have enough funds to pay for senseis and trainers, but many don't. If they don't have official senseis or trainers, it's very unlikely they will have a grading system. You will likely have competition irrespective of whether they have a grading system or not; kind of the point of a sports club.

It's probably a better use of your time to go to a local official club in the area that offers kickboxing, muay thai, or karate. However, I don't know whether your local area offers this.

If you can specify the particular universities, then I might be able to help advise.

Note, Muay Thai is a bit niched, even though it's probably the most practical of your list of martial arts. In all likelihood, this is the least likely martial arts you would be able to find in your university (or in any place in the UK). Karate on the other hand is the most common, so I would be very surprised if there isn't a karate club in your chosen university or location.

On the other hand, there is also a large variation of styles even within one type of martial arts. For example, karate alone has over 75 different types of styles. Martial arts is not static, it evolves and sometimes branches out and specialises.

Just out of interest, out of the plethora of martial arts available, why these 3?

I'm interested in doing kickboxing or muay Thai or even karate. So I wanted to know if these martial arts are available at the university and if they are what type of levels are there, is there any grading system or like competitions and stuff. Thank you