Doesn't matter about changing the 'variety' of potato. What matters is that you don't plant potatoes nor their cousins in the Solanaceae family in the same soil for at least two years!
I would go to 'Colorado Potato Farm' in Colorado to get new seed potatoes every year and make sure that same soil is not planted with any potato, tomato, pepper or egg plant for at least 2 YEARS.
This company is incredible! Please look them up and tell them one of their beloved customers in Oregon has recommended them to you. The son of the owner is a SOIL expert and they have stuff for the soil that will aid in lowering the pH because potatoes need an acid soil in the range of blueberries! Get a catalog. I highly recommend this company.
Big potatoes have absolutely nothing to do with anything Have you tried the fingerlings? And they also give you guidance on how to make a potato cellar!! To store them.
Potatoes are incredible crops! One of the fastest most prolific and most nutritionally packed crops one could grow. You can grow these potatoes in pots with wire cages to grow vertically as well. BTW, when growing anything in pots you have to use potting soil. Usually already in the correct pH range!
Your relatives at least gave you a heads up about growing crops that are partially...correct. If you have a garden you have to know about crop rotation! You cannot grow tomatoes and potatoes in the same soil for TWO years. Same with the Brassicas: Cabbage, broccoli, cauliflower, kale in the same soil for two years! Legumes the same. This is a major deal. We here have all learned the hard way to help you not have to do the same!!
Being able to learn how to grow your own food is such a critical skill. I am very glad you are asking questions and doing the work. So rewarding!!
Sanjihan! You have to go check out J.Mussers 'age of seed potatoes'...very interesting stuff! Hey if this is what you were looking for make sure you give Mr. J those points. This is something I've not worried about. Mainly because I get fresh seed potatoes every year, certified of course and always rotate crops.