Okay, this is probably a repeat, but I didn't see it in a search.
Here in the American West water is always in short supply. For the past couple of years I've been using greywater from the laundry to water a section of the property. (aka "laundry to landscape")
Unfortunately the washing machine (yeah, ditched the dryer, but some conveniences are too much to pass up in this stage of life) is in the basement. What I've been doing is allow the washer to fill a plastic tote and then using an inexpensive sump pump to blow it outside through a hose.
This works... sort of.
Unfortunately, a tiny bit of carelessness results in a very big mess. And even on a good day there is always some amount of nasty, grody water still remaining to stink up the house.
What I'd like to do is to have everything all plumbed in solid so that there's no longer stink or spill danger. Also, since the water level would then be hidden from view I'd need the pump to turn on automatically whenever water is present.
I've found pumps like that for sale, but they want an arm and a leg (and at least one kidney) for the dumb things.
Any thoughts for how to rig this up on a reasonable (sub $100 USD) level?
If you don't "know enough"... try anyway! (Cuz that's how you learn.)
Can you post pictures of your current setup? I have a hunch a few modifications instead of total replacement would save you a bunch of money. How big of a footprint are you okay with having? What size hose are you using to discharge? How high do you need it lifted to get outside?
It seems a sub-pump would work. They are about $60 and have a float switch that kicks them on. That is a pump/float switch combination, but a simple float switch could turn on any pump.
As far as the smell, I make the assumption that you do not have a P-Trap installed. That would eliminate the smell from coming back into the house. EVERY washing machine drain should have one of those though, just for that reason.