Please consult these five, simple, easy-to-understand words...
Go
To
A
Bicycle
Shop
Avoid Kmart, Target, Wally World or online sites like Amazon.com. REAL bicycle shops have professional salespeople that live, breathe, eat & sleep nothing but cycling. They can answer all your questions. Amazing!
More gears doesn't always equal more speed. But LOWER gears can mean climbing hills better. The better bikes today will use an 8, 9, 10 & yes...even an 11 speed "cassette" rear cog. Avoid anything with a 7 speed "freewheel". The best all-around bike I own for BOTH speed & climbing hills uses a 9 speed cassette with a range of 11 to 32 teeth and a 34 - 50 compact crankset.
http://www.masibikes.com/bikes/performance/alare-2013
WHERE & HOW will you be riding? Get a bike based on that. Read this article & watch the embedded You Tube video.
http://www.rei.com/learn/expert-advice/bicycle.html