Ok. Slow your role ha ha.
You have a vintage classic amplifier there, if it's in good shape it is actually somewhat of a collectors item.
What you're proposing is equitable to putting a turbo and nitrous on a Classic Jaguar E-Type.
I wouldn't even recommend using the amplifier at all if I'm honest, but if you insist on continuing to use it I must implore you NOT to experiment with it. One day it will break and you won't fix it and if you don't know any better you'll discard it (bad idea, as those vintage Leak amps are still worth something even if they're broken).
I'd recommend getting a new receiver or amplifier and upgrading your speakers after that.
Now getting on to the thick of it.
Getting a set of speakers that require more power than your amplifier can provide will more than likely eventually cause damage to the amplifier depending on your listening habits. Getting speakers that "have more watts" does not inherently mean they can or will be louder.
A loudspeaker consumes wattage from the amplifier, and it will take more than the amplifier will comfortably allow if you press the volume higher. You will begin the notice the effects of this via audible distortion of your program (music, soundtrack, etc). This distortion should be your cue to immediately turn down the volume until there are no hints of distortion.