As a pool guy that cleans multiple filters every week, I'm not a big fan of Non-DE Cartridge filters. It takes a lot of water and time to clean them well. If you can, I recommend using Pleatco Filter Wash. It is probably very similar to a laundry detergent, but it appears to not have a lot of suds afterwards. I've been pre cleaning with high pressure and then soaking the cartridges in a trash container with the cleaner then high pressure hosing them off again.
I have thought about using a Laundry Detergent but am afraid that they might create suds, and I just can't risk that because I don't have the time for that. Maybe someone could chime in on their experience using Laundry Detergents.
If they are calcified you might need to give them a bath in a very light acid wash. Google acid washing cartridge filters.
DE filters are so much better IMHO. I also don't use DE anymore and have completely switched over a Perlite type media, which I feel works just as good and is even easier to clean off, and is not as bad for the environment.
This is extreme calcium but this video show the foaming that could happen if your cartridges are heavily calcified.
I don't agree with some of what this guys says. You only want to Acid Wash if there is Calcium buildup, no other reason. Acid Washing will deteriorate the cartridge.
If you keep good pool water chemistry you will not get Calcium buildup like this.
How about hiring a local neighborhood kid to help you to the lifting and cleaning?