IANAL, but things I would look for include the following:
Usually there's a separate "invention assignment agreement" that says anything you make while on the clock that's related to X, Y, and Z, you hereby agree to grant the company, even after you leave.
Sometimes that's rolled into the employment agreement, but not usually in my experience.
There will also sometimes be a "no moonlighting" provision in the agreement that basically says you're not going to take part-time work with someone else in addition to what you're doing for the day job.
In my experience most startups don't ever come close to doing this part right; they either forget to make you commit to things they should, or they try to get you to commit to things they shouldn't (and you could fight in a court later).
In short, make sure you're cool with giving up your "X, Y, and Z" to this company in exchange for the job, and if you want to add "and not A, B, and C", add it before you sign it. If those aren't germane to your job, most employers won't mind.