Pond questions from a beginner

Hi Permies, this is my first ever post of my own and I'm nervous as I'm very new to permaculture.
We have 5 acres with a natural pond way out back, and a sort of seasonal creek/pond through the middle which runs off to the neighbor's wetlands. When we moved in 5 years ago my husband used an excavator to dredge and widen the pond part of the creek. It now has some trees sprouting up around the edges and a healthy frog population with a heron that comes to take advantage of that... but it is also overrun with canary grass. It's surrounding the entire thing plus popping up in the shallows and crowding it all up.
My questions are: How can we manage the canary grass to keep the pond from being filled up with organic matter? I did add some lillies this year to get some surface coverage, but it will take a while I think.
Are there things I can plant along the edges to keep the grass down and the critters happy?
We are planning to fence the property and bring in alpacas and turkeys and ducks (we already have chickens and raise pigs in the spring-fall). Should I allow access to the pond for the animals? I would think the pigs would destroy everything, haha.
Any other insights I might be missing as a noob?
Thank you seasoned permies, I love reading all of the forums and appreciate any help!

Seems like to me canary grass would be a good thing to have, provides food and shelter for wildlife, prevents erosion of soil and run off into the pond.
I read that farmers either love or hate it, so I guess it's subjective.