Is this a good template for first-time emailing potential PhD supervisors?

[traceyflanniganburner]

Dear Professor FirstName LastName,

My name is TraceyFlanniganBurner and I am a senior undergraduate student in XXX at XXX University. I am currently working as a research assistant in the XXX Laboratory of XXX University with Dr. XXX. My research includes applications of XXX and XXX. I have frequently consulted your work on XXX and XXX (such as DOI link) when handling XXX in my projects. I am highly interested in pursuing a PhD in XXX and I am researching graduate programs in the United States. I would like to know better the research developed in your lab and if you are considering to take new students for PhD in the upcoming year. I enclosed my CV and I am available for a meeting at your best convenience. Thank you for your consideration

[Jule.s]

Looks good! I would maybe mention why you are contacting them a bit earlier in the email.