choking out weeds

I have a large area on a slope that I need to cover with a living mulch. I have tenacious weeds like burdock, buttercup and horsetail that need to be choked out.

The groundcover needs to be fast growing (via seed) and ideally rabbit and deer resistant.

Any suggestions? I was thinking mazus reptans and creeping jenny but unable to find anyone who sells seed. I have tried creeping thyme but had no luck in seeds germinating. Thyme starts from the nursery are really slow growing and expensive.

New Zealand/Dutch white clover is another choice (but its nor deer/rabbit resistant)

thanks so much

Welcome to the forum.

Knowing what part of the world you are in might help folks give some suggestions.

I only have experience with a few plants that fit what you are asking for.

If I were in that situation I would plant Bermuda grass or Buffalograss.

The only other plant that I have experience with that might do this is Sweet Alyssum.

It is not a known ground cover and probably sounds way off base.

When I grew it here in hot Texas it grew really well for me.

Dear hubby did not like how prolific it was and pull the plants up.

While the dead plants lay on the ground they provided much needed cover to retain moisture, which I know is not your goal.

I am just trying to explain the kind of mat they made.

Even if the Sweet Alyssum doesn't do what you are wanting it has pretty pink or white flower and smells heavenly.

I hope some folks will be able to give you the answer that you want.

A general suggestion I have is to make it into a wildflower garden. Find out what flowers and plants are native to you and broadcast seeds. I did this earlier this year, and it turned out beautiful. Pollinators like it, my neighbors like it, and the errant chomp here and there doesn't bother me. A neighbor ran it over when they were babies and they ended up just fine. Pretty tenacious. Do a mix of perennials and self seeders.

It wasn't hard and it didn't cost a lot of money. I tilled up the spot (it had grass) and then went to town throwing random plants in that I found on craigslist, nurseries, and the lowes discount trash pile.

Hi, As Anne says it will be easier to give useful suggestions if we know your climate zone. I would also wonder what your aspirations are for the slope - why the weeds are a problem? Burdock and horsetail are deep rooted plants that will stabilise the slope, which may be a useful function.
I've not had much success getting rid of creeping clover myself. One suggestion is that it doesn't much like being mowed - there is less of it now on my pathways of grass that are mowed a few times a year. Another suggestion would be to try and shade it out -  go for a higher growing plant like angelica perhaps or maybe lupin. I don't know if either of these are deer/rabbit resistant though.

Thanks so much for the prompt responses.
I live in zone 8b (Pacific Northwest). Sorry forgot to mention in my first post.
Also I am hoping to use the space as a perennial bed, with herbs and possibly veggies (though somewhat limited because of the deer and rabbit issue).
The space abuts a natural area where deer and rabbits inhabit, so this is in their path of movement.

There is another space where I threw in some chamomile and it became a meadow/forest which was amazing, but the weeds and grass also grew waist high. This space isnt affected by the burdock or horsetail.
My issue with the burdock is that it takes over the entire space snuffing out anything else from growing.
Theres one variety of horsetail that is shorter and thinner, and I dont mind it as it doesnt prevent other plants from growing. Theres another variety that is thicker and taller. Between this and the burdock I am unable to grow anything there.

I found when I decided to leave a plant alone and love the weeds that I had a lot less problems out of it.

Did you know that burdock has medicinal benefits?

https://permies.com/t/8004/Burdock-Realy-Good

https://permacultureplants.com/plants/burdock/