Is it alright to have two glasses, one for the computer and one for daily and regular use?

Hello doctor,

I went to the optometrist, and the optometrist recommended me to use two pair of glasses, one for computer use only at work (-0.50, -0.50, 0.75) and one for daily and regular use, which is basically for distance (-2.0, -0.50, 0.75). I picked up my new pair of glasses and have been using them since then. It is worth pointing out that I have not had an eye exam for the past three years, and I have been wearing the same prescription all this time, and when I now had the eye exam, my distance condition had slightly increased. Another fact is that I have been wearing glasses since I was 15 years old, and I am currently 32. I have been having a horrible headache for the past four days. I have been feeling dizzy, and it has been hard for my eyes to focus correctly. All of this is making me think it is the new prescription. I have been vigilant today, and the same things are happening. I do not know which prescription it is, if it is both, or if it is the fact that I am constantly changing from one prescription to another whenever I walk out of my desk. Or will this happen until my eyes adapt to the new two pairs of glasses? Or am I doing something wrong? It is the first time I have heard of using two prescriptions, but it made sense because I sometimes get migraines, and the optometrist said this might help. But changing a pair of glasses every time I walk out of my computer might make my eyes more tired since they have to refocus on every shift, causing migraine and dizziness. I guess I need some clarity on this matter.

Thanks.