The first problem I solved with the Sephora Formula X "The System" which makes my mani's last 6-9 days with no chips (see my last post for a review). The second I solved with the Sally Hansen Kwik Off Nail Polish Remover!
I love it sooooo much! There are 3 holes to stick your fingers in (I had to poke around at first to find them), so it takes half the time as my other tub. Inside is an actual soft sponge, so it doesn't scratch your nails. It smells pleasant enough and it works so fast. I leave my fingers in for about 30 seconds and then press my nails into the sponge and twist to wipe the polish off. It's not too drying either.
It just costs around $3 at Target. I highly, highly recommend you try it. Taking my nail polish off doesn't feel like such a chore any longer.