Yes, it sounds like you may qualify for Head of Household, so long as you pay for more than half your costs to run your home and you claim a dependent.
You need to keep records of all the expenses you paid, to validate your status. You can do this by getting copies of your bills and noting how you are allocating your full share, how much you paid, when and how paid.
See page 8 at the IRS pub for costs of maintaining a home: https://www.irs.gov/pub/irs-pdf/p501.pdf
Learn more here: https://ttlc.intuit.com/replies/3288637
