Change my name

HI,
For personal reasons, I am considering changing my name legally through deed poll.

My question is how and if this could affect my claims for ESA and DLA?

I appreciate that I would need to let the various departments know of my change of name, but could this change trigger the automatic transfer to UC?

I know it may seem like a strange question, but I am loath to do anything that will affect my benefit entitlement, and force me on UC where I would lose various disability premiums, and ultimately end up worse financially.

Thanks in advance for any advice and assistance.