Pulse rate always higher. Pulse rate?

Hi I do have high BP and take medicines. It's under control with medicines. I do measure the BP once in a few weeks at home just to check.  Whenever I check my BP, it also shows my pulse rate and it's always higher. Around 100-120. Then I will sit down for a while and keep checking it for a few minutes. It will show up 100-110.  Never goes down below 100. I asked my doctor about this during my visits and he said it's ok. During my visits, they do check vitals and pulse rate will be around 90-100.  They were never concerned about it at all. I am 40 years old and obese.  Does this pulse rate normal or need to be checked out? Do I need to sit down for sometime before checking the pulse rate? I just simply stand and check it sometimes with pulse meter.