My little CBR125 now has 2mm left on the front and rear and feels a bit wobbly and not very confidence inspiring when riding, especially if the road is bumpy/cambered/uneven. As it's my first bike I don't know if that's just cos the bike is crap and lightweight. I thought that new tyres wouldn't harm so when do people change their tyres? Do you wait until you're down to the last 1mm or change well before? Also, do I just find a bike tyre place and ride in, ride out or am I best off taking the wheels off myself and taking them?