Heaved over the ear??? Vibrating tires

Moin people! The following situation: I bought used rims & tires for my Toyota Picnic and added them yesterday. In addition I bought and built up centrings. Today I went to the TÜV to register the rims and had no problems. During the ride I noticed however that it was slightly bumping (even from 30 kmh). I then drove to a tyre workshop chain (which I don’t want to name) and wanted to have the rims balanced. But I already after an hour and told myself that a balancing is not possible. The bumping comes from the high blow and for this the tires are responsible. The high blow should even be on all four tires. So he recommended me new tires, which I would of course have got there for a proud price, but I refused thankingly. What do you think, was I hit by the rim purchase or did the tyre dealer want to make a good deal? Gruss, xsenon