I feel obligated to give a big warning though:
A TV works with very high-voltages and as such it is extremely dangerous to work on it if you do not know what you're doing!
Also note that it is not just enough to unplug the TV. Internal components (especially like capacitors) can hold a (still deadly) current long after the TV has been unplugged.
EDIT: I just notice it is an LCD
, I thought you were talking about a TV with picture-tube which are very dangerous to work on if you aren't qualified. Still, beware of left-over currents nevertheless.
Other than that, many components are usually standard and you can get them in most electronic shops/radioshacks (edit: this goes for those older TV sets. For more modern flat panel TVs you may have a harder time tracking the exact same component down). But as Chancer already said, make absolutely sure you get the exact same component with the exact same specs in all cases.
The white goo does not come from the components blowing up. It is indeed glue and is there to hold the component in place so it doesn't touch another component (insulation) and even act as a heat dispenser. If a component blows up you usually see some small blackening on the component itself (or sometimes just nothing).
PS: I assume you already have checked the fuses?