A welfare power of attorney allows a trusted person (the attorney) to make decisions about your personal welfare and healthcare if you become incapable of making those decisions yourself. This may include decisions about medical treatment, care arrangements, and where you live.
A continuing power of attorney allows a trusted person (the attorney) to manage your financial and property affairs. This authority can begin immediately if you choose, or only if you lose mental capacity, and may include managing bank accounts, paying bills, buying or selling property, and handling investments.