Taking the keyboard off your laptop isn't usually very hard.
It depends on the model of Toshiba you are talking about.. Satellite, Satellite Pro.. Tecra... Portege... And so on. I see you have a Satellite.
Lots of parts to the Satellite snap together. There are quite a few screws, but Toshiba is often nice enough to label each one (F5, F8, F16 etc..) so you don't lose track of which screws go where.
To take the keyboard out, you will need to remove the plastic cover from the top part of the keyboard. This usually snaps out by prying it up with something sturdy and slim. Don't be afraid to be "rough" with it, because if often takes some pressure to get these kinds of parts to snap out of their place.
Next, there will be screws underneath the laptopl. You should remove all of the F5 and F16 screws because these will hold the keyboard and palm rest down.
There may be hidden screws. Each model is different. There may be screws underneath the inside of the battery bay for example. So if it feels like the keyboard isn't coming out, then there is probably a screw hidden somewhere.
And when you do lift the keyboard up, be very gentle. The cables which connect the keyboards and mice are not made for punishment. It is very easy to rip one if you are careless.
There may be more to it than this. I've seen Satellites where you have to take the entire upper bezel off and remove the screen hinges etc...
But may this information will help you figure it out yourself.