There's a good chance you might able to revive it yourself, even with limited/no technical knowledge. The battery in A3000s is known to leak but my (admittedly limited) experience tells me the damage caused is rarely extensive - i.e. not as bad as in A4000s - and usually not bad enough to prevent a machine from booting altogether. This probably comes down to a combination of less destructive acid on the battery itself (as opposed to the A4000) and the battery's less critical position in the motherboard. Like I said though, this only my experience (coupled with a good dose of speculation) and cannot guarantee that it holds more generally.
Sorry. Dead-wrong. The batteries are the same between the A3000 and A4000. The "acid" (it's actually a base, search for similar topics in the forum) is quite corrosive and it will usually do enough damage to kill the machine. It's DEADLY (to the 'migy). It's probably also poisonous, so wash well after you handle it.
@trilobyte:
What happened to your A3000 is exactly what happened to mine: after years of storage (although mine had the battery removed) it fired up and ran once, but then never booted again.
HOWEVER, since you said you moved it to another place, it might be a loose part problem. Try re-seating all cards, plugs and removable (socketed) chips. That's the first step before you start doing electronics diagnosing.