Combined with recycling I dont think I've bought any bags since the wee one was born
I do have a couple wool covers that were made by my MIL but for some reason I never was successful with them, I don't know. They wicked and I didn't have the patience to re-lanolize them etc. So no advice there, sorry!
If you ever need to strip your diapers if they are leaking or stink, I recommend a few very hot washes (inserts only) to get off any buildup and some vinegar in the rinse cycle. Be careful with lotions and diaper rash creams, they can cause buildup. And also your current detergent can cause buildup too even if you are using Eco with the diapers, so you might occasionally have to strip them anyway. Just to let you know. If a diaper stink or leaks then it's time to strip. :-) hahaha
If you really hate laundry, cloth nappies might not be for you, but personally I find it easy to chuck a load in every day or so – in fact, having to wash regularly because of nappies just means it's that much easier to keep the clean clothes coming. As you say, a new mom has plenty of washing anyway, I don't find nappies make a big difference!
To PP – sorry, I haven't tried Gio and find it a bit hard to judge them from that website. It looks like they're all-in-one nappies? I'm not keen on those. They take aaaaages to dry, so you have to buy a lot more of them. Pockets or snap-ins (eg Itti Bitti, my favourite) are as easy to put on but much more cost-effective.