I'd look for VALUE.
Low P/E (price to earnings ratio)
Low Price to Book Value
Not much Debt
Increasing Earnings trends or Increasing Dividends (not too realistic in todays economy)
Management team that has been in place for several years
(Check if there has been insider buying or selling reported - this has a lag time but is a good indicator anyway - If they dont' want it you don't )
A solid staple product with new product inflow or such if possible depending on the industry
LOTS of other things
I'd think, depending on time frame you're best off investing in a mutual fund to spread it out and get diversification.
However, If you want a specific stock not a fund then research VALUE funds in todays market. Go to Morningstar at the library and find what looks to you like a good value fund that's currently, mid term and long term rated a good fund. Find a good one. Spend some time looking at the most recent portfolio of that fund. Track it back over a few quarters and see if any stock positions have INCREASED recently and then check out those stocks via the library on Value Line and go from there.
Nothin is a sure thing except me lovin the VIKINGS, beer, food and wimmen.
Oh, and if you want one specific stock.
Check out Berkshire Hathaway. It's a super buy right now, in my opinion, and over time it should be a good gamble, however one share is quite expensive.