Stop blowing breakers?

It is probably the heater that is pulling that large amount of current.  Put in another breaker and make an outlet just for the heater. 15A is plenty big enough. As you need wiring for a 15A current.  You have to do it. or you will continue to Blow.

get a dedicated  circuit wired in to what ever is using the most current call up an electrician hopefully you don't need to upgrade the mains.

One breaker can only do so much, even if you spread things around to other outlets. In addition to looking around to see what you can move to another breaker, you need fewer and more efficient devices. Desktop -> laptop. CRT -> LCD. And if you have three old servers you can usually rig one new one to do the same jobs better.

try working to there 10 amp rating does help , 20 amps will blow a 10 amp fuse ..

Keep what is only needed for the draw; eliminate the stuff you don't need.  That is how you get out of that mess...peace.  

Okay--you're not going to turn stuff off. 

This boils down to a simple equation: too many devices, too much power pull--too little amperage. Upgrade your electrical panel and get a couple more outlets installed. OR TURN STUFF OFF. 

You're blowing the breakers because you have too much stuff turned on. If you wont turn stuff off, the breakers will do it.

then you need to run another circuit from the breaker box -- i suggest at least 20 amps.  one possible 'cheat' -- if the next room is on a different circuit [test by turning off the power to your office at the breaker box], you or a handyman might be able to connect to the back of an outlet in the next room and put some of the power load on the circuit for that room.  -- grampa

Well if your not gonna turn devices off.  Your only other option it to add another circuit in your panel.  

If you're blowing a circuit it's because it's overloaded.

You need to move things around to other outlets.