If someone does you a favor, helps you out, gives you something - and you give them shukr in return. It's given in return for some kind of personal benefit.
Hamd on the other hand includes shukr but also has an additional connotation of not being given in return for anything - it is praise that is given regardless of whether someone did you a favor or not, it is praise given because of who they are, not what they did. In Islam, we say Allah SWT is Al-Hameed - He is the One who is deserving of Praise always, whether He has done something for us or not, whether we praise Him or not.
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