Exclamation [Q] Sim Card swap question

I have searched and searched, and I am sure you will post a link which will be great... I have a MHS291L from Mellinicom (Verizon). I am wanting to ditch the device but keep the service. I am interested in purchasing a Verizon Note 3 and using the SIM card in the phone. Is that possible? I currently use the MHS291L and jump off the wifi with my Tmobile GS3, which I want to get rid of... Would rather have 1 device in my pocket than 2. Thanks for your help in advance