How can I estimate my current weight? I do not have a scale and I rather not use the water displacement method.

Hmm ? I don't know of any accurate method to guess your weight. If you are 16 years old and go to high school - you can ask to be weighed by your school nurse. Take care.
BMI percentile. For age 2 to 19, we use BMI-for-age percentile to assess level of obesity. Use this calculor: https://nccd.cdc.gov/dnpabmi/calculator.aspx. Or these analyzers can assess body fat: https://www.amazon.com/gp/search?ie=UTF8&camp=1789&creative=9325&index=hpc&keywords=Body%20Composition%20Analyzer&linkCode=ur2&tag=medsurfer&linkId=YWLYHBLFLSVTYZS7.