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Tell them of course you are tired you have a baby.....are they offering to babysit?
Invest in a good concealer...go to a good department store like Macy's, Bloomingdale, Lord and Taylor counter like Lancome (which is L'Oreal at Walgreens, I have a friend who is a chemist for them) and have the consultants show you how...then you can buy it or something similar at the local store.
At work focus on being perky..
Annoying I know.....never let them see you sweat. Don't over share that the baby isn't sleeping...don't give them something to gossip about.
Trust me this too shall pass.....