Road bike tyres (Ilkley LS29)

Is anyone changing their road bike tyres and getting rid of the old ones I am looking for some tyres for my racer the ones that I have are baddies 700/20 I’m looking for some a little wider with some tread they can’t be too wide as there’s not much space between the front forks anything that will fit would be a great help I have looked online but I’m not sure what kind to get so some old ones with some life left in them to try out would be a great help even some advice I would appreciate as being on a low income I can’t afford to make mistakes purchasing the wrong type my bike is a large size giant road bike