Have to say, reading this part, and mate, it's exactly the same for me so would not discount that it's not feasible for you.
2 different apps for my kids school, all my work emails and chats to communicate when i'm between meetings or in meetings (work in the City in Finance), and yes i do often send the odd email/chat whilst on holiday given the industry.
Are some things frustrating? sure. I pre-order my coffee to collect before getting to the office. Discount codes for things, i still carry my iPhone (but cant tether to Nokia) so if I need it, i'll find Wifi. Alternatively, i have all work and home stuff on iPad too so that's often with me (especially in the office).
Trust me, i'm on my phone a lot, and that's why i'm attempting this. I'm still checking in, it's not complete cold turkey, but it's a real eye opener as to how addicted i am to my phone and most importantly how nearly nothing is urgent. it's really proving to be a distraction but for non-important stuff. Quite looking forward to being off the phone over Christmas and hopefully just more present with the kids.