Do You Really Want This Job?
You're excited to have a job offer, so excited you're likely to find yourself screaming, “Yes! I'll take it!” before the recruiter even finishes stating the offer. But in the back of your mind are the flock of resumes you've sent out all at once, and you're worrying that something better will come along just as you accept the offer (that's just your luck, right?).
So before you jump at the first offer—or any offer—make sure this is a job you really want and will be happy with. Make sure it is a job (and company) you will enjoy going to every day. Ask yourself if the company's business is in sync with your own interests, so that you are likely to go to work with a certain amount of enthusiasm day after day. It may be hard for you to judge at this point without actually being in the situation. But you may be able to get some firsthand information on the subject.
If you receive a written job offer, you should acknowledge it within a few days, even if you're not ready yet to accept or decline. Employers know that you need to consider various options before making a decision.
Was this position available because of the promotion of the person who previously held the job? If so, perhaps you can get in touch with this person and learn more about the particulars of the job, the requirements, and what will be expected of you.
Are lateral job moves available to provide broader experience? Does your employer sponsor continuing education programs to help you stay abreast of changes and trends in your field? You can also ask the company to provide you with an outline of its benefits program so that you can weigh this as you make your decision.