I live in an apartment with no place to charge at home. I also live where there are quite a few level 2 public charging stations (about equal numbers free or with a fee). When I was still shopping plug in hybrids I thought I'd get a level 2 charger at home as soon as I buy a house (or condo with a garage). Now I'm not so sure. They actually don't seem to be that expensive ($150-600 depending upon brand and if you get a plug in or hardwired unit) plus a few hundred to a thousand for the electrical work (if you don't/can't do it yourself), so it can be done fairly inexpensively. However, my experience keeping my car charged tells me it may not be needed. Yes, level 1 charging takes about 12 hours if you are charging from an empty battery. However, if you can charge it at work or partially charge it (and occasionally fully charge it) at public chargers while going about your business, you'll very rarely have an empty battery. On a partially charged battery, and especially with just a little top off, a level 1 charger will do just fine. My plan for myself (and my advice for anyone else) is to give the level 1 charger that came free with the car a month or two to see if you really need to invest in the level 2 charger.
If the OP is considering a 2nd level 1 charger, one for home and one for the car, I wouldn't bother. They are portable so you can always put it back in the bag and take it with you whenever you think you may need to use it, though there aren't many times I can think of where it would be useful: camping, going to a hotel without level 2 chargers but that will let you plug into their outdoor sockets, and that is about it (sure, I see on Plugshare that there are some restaurants and stores that will let you use their outdoor sockets, but how much charge will you get from your level 1 charger the 30-60min you are there).