umaalon when driving slow

Hi! I own a honda civic 2004 model and lately nararamdaman ko parang umaalon yun front of the car (sorry for the term). I had the tires replaced and still ganun yun feeling. Pero sabi naman ng kasama ko sa passenger side wala naman. And when ako din yun sumakay sa passenger side, hindi ko rin ramdam. I dont know if its me lang or hindi lang ako sanay. Trying to search the net of answers but d ko kasi alam kun ano yun tamang term. Bouncy? Umaalon? Pero pag mabilis na, wala na problem.

Hope i could find some answers here. Thanks in advance!