Tremolo bridges are usually set up as 'floating' which means that if you push or pull on the tremolo bar you are able to change the pitch of the note or chord that you are playing. For most guitarists this is not much of a problem and this tends to be the preferred bridge type. The main negative for this type of bridge is that you don't have the flexibility to change the pitch of a chord easily as you do with a Tremolo.
Fixed or Hardtail bridges have great tuning stability and are easily retuned or drop tuned without affecting the remaining strings. There are 3 main bridge types that you regularly find on electric guitars, Fixed or Hardtail, Tremolo, and then Floyd Rose. How do I know what guitar bridge type suits me?