When/How to choose a professional to help with finances

I graduated from anesthesiology residency last July and haven't yet been set up with a financial advisor. Mostly because I didn't feel a need to. However, now that I've been out for 9 months, It's become pretty obvious to me I need some help.

I talked to a partner in my group and he said he could set me up with the guy he uses. He uses a guy from Merrill Lynch. I trust my partner and he gives this guy very high praises.

Also, as a newbie what kind of questions would I need to ask a financial professional? What should I look for from them?

My situation is as follows:
30 years old, single, no children.
No debt - thanks to scholarships to LSU and medical school.
Truck paid off.
I basically still live like a resident - one bedroom apartment, no new major purchases since graduation. It's actually probably cheaper now as cost of living in Beaumont is less than it was in Nashville. I've got 125K stuck away in a savings account.
I've got a Fidelity retirement account from residency with a little over 12k in it.

I thought the money I was saving would be for a down payment on a house here in the near future (maybe another year or two), but my partner said I should finance as much as I can. So now I think I need to do something else with it. It's earning a whopping 0.0025% in that savings account.

ETA I can set up a retirement account with the group I work with after I've been there a year.