Alimony is not allowed to be claimed by either the payer or the payee if the divorce is finalized Jan 1, 2019 and beyond. If the divorce was finalized before that date, then both parties are able to claim the payment.
Moving expenses are only allowed if you are in the Armed Forces on active duty.
Medical expenses are deducible for expenses over 7.5% of your Adjusted Gross Income if you are itemizing. The standard deduction is $12,400 for filing single, $24,800 if filing Married Filing Joint, and $18,650 filing Head of Household. You can itemize if your deductible expenses are over the standard deduction.