I'm worried the H1N1 component of the flu jab will increase the risk of side effects. Is this true?

Don't be worried. At the start of the H1N1 swine flu pandemic, the first vaccines had to be manufactured very quickly, and contained additives (called adjuvants) to enhance the immune response. Many people who received those vaccines did experience a high rate of minor side effects - but these were caused by the adjuvants, and had nothing to do with the H1N1 component. Seasonal flu vaccines DO NOT contain these adjuvants. Seasonal flu vaccines protecting against H1N1 have not been linked to any increase in the rate of side effects.