You got the dogs to love, right? They trust & love you back, unconditionally.
But you'd get rid of them (the real word for 're-homing') to get new carpeting.
And you want new carpeting because it will look nice & impress people? Is that more important to you than being able to sleep at night wondering how your dogs are doing since you dumped them? Look into your dogs eyes & ask yourself what is more important. If you can look into their eyes, and still think new carpeting is more important to your life, and your Karma - then try to find a good home for them. Use a lot of caution doing so though because there are a lot of 'horrifics' out there. I would suggest you imagine a few scenareos your dogs may end up in. A new owner who decides they don't want the dogs in the house 'after all' & make them live outside in horrible weather. Or somebody with a bad temper, who takes their frustrations out on the dogs, physically. Or, somebody who meant well at the time they took them, but circumstances changed, they get evicted, lose a job & the dog is carted off to the humane society, put to sleep, abandoned or dropped off by the side of a country road alone, or sold to a lab because they need quick cash (this happens more than you know - and they do 'horrific' things to animals in labs).
Shelters are overwhelmed & overloaded right now with pets that people had to give up, due to job or home loss. The odds of your dogs finding good homes before they're given up on, are not good.
I don't know if you have kids holly - but I taught my 3 kids, that when we took in a pet, it was our responsiblity for the rest of that animals' life. My kids are grown, and they still believe that - no matter what. Think hard about what message you will be sending to your kids if you give up your dogs, just to have a nice carpet (appearance over family - your dogs are part of your family. Dogs ar pack animals - YOU are their pack.. I had a neighbor years ago, who'd adopt a dog, then got tired of the inconvenience & she'd get rid of it - she repeated this cycle for years & dogs. I know somebody who 're-homed' their dog, only to learn that the new owner didn't want it in the house anymore & made it live outside in bad Ohio winters. It froze to death a few years ago. Big dog, too.
I raised 3 kids & we've had a lot of dogs & cats (mostly strays & rescues). We built a new house, new carpet - and after a few years of kids & pets, it got shabby - and it stayed shabby (I have a shampooer & I vacume daily - so it was clean, but shabby - it had holes worn in places where our old dog scratched it when she got senile). Anybody who came to our house, knew we had kids & pets - and they didn't care what our carpet looked like (or sofa). Our house was always full of neighbor kids - and can be harder on a carpet than dogs are. After about 15 years, we bought new carpeting. We still have 4 cats & 2 dogs (one sheds like crazy) - but it was a kig who made the first stain.
One product I love is found at the "Fix It Shop" on Sylvania Ave - by Hoover, a spot cleaner - takes out most anythng. I like the idea of a big area rug laid on top of your carpet - adds interest & color, and you can find them in all sizes & prices.
I have to agree with the poster who said your landlord is just making an excuse to not buy your carpeting - if he's "OK" with one dog, but not two dogs - IF that's his logic, it garbage. Why is he 'ok' with one dog & not the others when it comes to buying carpet? Do you have kids? Is he 'ok' with kids & new carpet? Your kids are going to be harder on new carpet than your dogs will be.
One last thought - a new carpet is only pretty & new looking for a couple of years, then it shows wear & use, like normal family wear. Is having your carpeting look really nice & new for a couple of years worth the guilt of giving up your dogs?
I'm not trying to be mean - but this is one of the most dispicable things I've ever heard of - dumping your dogs to get new carpeting.