Where do I put the wipes?

💁🏼⚜🙄
So I've purchased some cloth diapers and a dry pail with a washable liner. I think I've got a pretty good handle on some aspects of cloth diapering but there's a few "logistical" aspects I can't figure out. 
1. I'm going to use disposable wipes. Where do I put them? Do I need to buy a separate trash can? 
2. I have diaper liners for the messy diapers to flush down the toilet. This sounds good but I'm having trouble imagining running to the bathroom with a dirty diaper while dealing with a baby . Seems like a lot of trouble...or am I overthinking it? 

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