For such a small amount, the fees are likely to eat big time into your profits. And also excludes you from some of the cheaper brokers like Interactive Brokers. Your best shots are probably one of the following...
Hargreaves Lansdown
IG
AJ Bell YouInvest
Halifax Sharedealing
& I imagine all will have an execution cost of ~£5-£15. Might want to consider whether it's worth the fees?