Thank you Jessica! Yes, applying for the Graduate visa is one of my options- I graduate in May and my current student visa doesn't expire until September so I will have the summer months to apply for it if I decide to do so.If you have got the money to be able to cover the fees, look into the post-graduate visa which will give you two years to work in the UK after graduation.
Graduate visa - GOV.UK (www.gov.uk)
You wouldn't be able to apply for this to cover a TC anyway but you have to apply for it while you are still in the UK and on your student visa, so it is a great option if you want to stay in the UK and look for work.