I have not jumped much at all.
When I signed on to my current company I got 500 option shares, at the time the company was $7/share... when the company got bought by a larger one in early December the shares were worth $129/share.
Beyond that, I am a manager and for the past couple of years have been getting an RSU compensation, first with a 4 years total vest, now with a 3 year vesting schedule. Each of these is adding $4-7k per RSU per year to income.
What you ask for on each jump really will depend on your level, worker bee versus a Director level or above will obviously have an impact.
Also. Be sure to consider the whole package, because that signing bonus might turn out less shiny if the company isn't doing well overall. For example great 401k match, and great/cheap benefits might outshine the signing bonus.