Hello and thanks for your question, I don't think you need to go to the eye doctor if this is your only problem. Everybody who has ever lived on the planet has developed, starting around the age of 40-45, what is called presbyopia. This is the need for reading glasses for near vision. People usually end up starting at a strength of reading glasses that you have and depending on their up close needs, may use a combination of them. You will notice that every 4-5 years you will need to bump up the strength of your reading glasses; this will eventually plateau around age 65. But rest assured, this is perfectly normal. Unfortunately, this is probably more inescapable than paying taxes.
Does that help answer your question?
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I don't think these glasses will weaken your vision. It is a common misconception that wearing glasses will somehow habituate your eyes to needing them. All glasses do is bend light and don't physically change the eyes. I would say you will probably suffer more from not wearing when you need to wear them. That being said, given that you said you have good distance vision and always have, I don't think it necessary to use them when you watch TV, unless, of course, you are very close to the TV. Your child is likely far-sighted as an overall prescription and needs them for up close more than distance, but still probably helps her with distance. So she is in a bit of a different situation than you are.
Does that make sense?
Yes, 1.35 is an intermediate strength in between 1.25 and 1.50, which is why they probably work well for you right now if you were to use them for your up close vision.