Re the shower, just do it! Put her in a bouncy chair in the bathroom, and get on with it whenever suits you. Ideally I found if I did it straight after the morning feed but before a nap, I'd have a good window of opportunity.
Re coffee, etc, put her in a sling or pushchair, get out and about as much as possible. Keep a bag for going out so you don't have to pack it each time, with muslins, nappies, wipes, raincover, etc in, grab it and go. I spent hours just wandering around town with my first, walking the dogs, going to library, shops, coffee, whatever. Mine were rubbish sleepers but spent hours asleep in the sling. Find somewhere you're comfortable breastfeeding while out if that's issue for you so you can always head there if needed.
I did manage to get some work done while they played, and just had to vary the setting for them; baby gym for a bit, in the carrycot in the garden looking at the clouds or trees if the weather was nice, in the sling, and it did improve with time. Also at about 8 weeks I started giving them a 'bedtime' aiming for 7pm and doing bath, change into a fresh babygrow and feed to sleep, then working while they slept in the moses basket next to me.
It does get easier, but your baby is still tiny and wants the security of you next to her, but this will lessen imperceptibly over time. You'll be fine.