OK, you have a 9 meg pipe to the outside world. Nothing you do internally will make that pipe bigger. If you were using 10 meg internally you might have times when you were limiting yourself. Maybe.
100 meg will never be the limiting factor in your internet speed, neither will 1 gig or 10 gig or 40 gig or 100 gig. Have fun, spend money, but it will make no difference to your internet speed.
If your modem is old enough, it may have a 10 meg ethernet port. If so, and I have no idea, as your gave no details, then a modem with a 100 meg ethernet may be less blocking. Again, if you can find them, 1 gig, 10 gig, 40 gig, and 100 gig devices also will not block the Internet and can absorb excess cash you seem determined to spend.
Internally, 100 meg will be WAY faster than 10 meg, in part because of duplex and collisions. 1 gig will tend to only be 2 to 3 times faster than 100 meg, as your computer is limited internally. 10 gig, 40 gig, and 100 gig only matter for trunking because no Personal Computer can approach those throughputs. And darn few Mainframes.
I tried to remain child-like, all I acheived was childish.