Hooray for a fresh new hairdo, @sarah_poe- I bet it feels (and looks) great to have a new cut! 
You can burn hair, but it’s terribly smelly and not pleasant at all (right up there with burning seaweed imo- stinky! 
)
My first thought is always donating hair- do you think you have enough to send to a charity? If I remember right different charities/groups have different lengths they require. If you have enough, you could donate it to a good cause 
If it’s not very much (or you don’t feel comfortable giving it away, which I can also understand) then you could leave it outside for the birds to take and make nests out of 
or release into nature 
Additionally, you could potentially keep some to use as a personal taglock in spellwork 
I’m sure others will have some creative ideas and advice for hair disposal as well- I look forward to hearing what the coven has to offer! 
Blessed be!