Lima is ... difficult. Its a gigantic city growing well beyond its own capabilities and infrastructure. 99% of houses are unpainted brick without a proper roof and cables just hanging out. There is so much poverty, stray dogs and smell of piss even in the touristy areas. During more than half the year you will not see the sun because it is always covered in haze and smog (dust from the desert + cold moist air from the ocean). The outskirts growing into the desert are the most depressing sight of human existence I have ever seen.

The bike lanes are nice but limited to Miraflores (the tourist main quarter). Baranco is very nice and artsy, as are some of the rich areas. There are very nice restaurants, theatres, museums etc if that is your thing though. And if you spend some time in more rural Peru, returning to a modern city with shoping malls can be nice too.

All in all I would not recommend going to Lima as your destination when going to Peru. Stay for 2-3 days then get the fuck out of there to the actually beautiful cities like Arequipa.