Hi,
are you talking job, or just research experience.
is this during your undergrad, or getting a job after, or summer job?
If you're doing it for class credit, i'm sure many people will take you.
To get a job: read up profs research. find what interests you, and e-mail (phone, visit, etc) the prof and tell him your background. If you're a junior/senior, find someone with research related to some classes you've taken, or done well in. you don't need to find a formal program like howard huges. Just contact the prof, and if he needs work, he'll take you. It'll be a big plus if you've taken an upper division course related to what they are doing.
I've done bench research with one of the profs here for almost three years. I found it quite easy to get position.
BUt that was for a couple reasons: I contacted them at the right time (right before fall semester started). I think that was the key as an undergrad. They aren't going to spend a lot of time finding a great candidate for an undergrad student - anyone does the job. thus, if you contact them when they need you or keep in touch with them if they say they may need in the future, that'll help
This is WashU, it's a good school with funding for lot of people, and encouraging of their students and all. I know it would be harder for undergradst to find something at other schools.
I have good background. I had a good GPA and such, so thay may have helped. I don't know how much it helps.
In all looking for jobs, you need to approach the market the right way. How you go about looking is sometimes more important than what you got.
That's my speech. You can e-mail me if you had questions.
Sonya