Firstly, you need to choose a good table. Enough tight players that you have the potential to bluff your way out of a tight spot, but enough loose players that you will get action on your premium hands. I know that doesn't look like it makes sense, but Obv dont bluff the aggro donkeys and over-bet the penny pinchers...pick your spots!
If i'm only rolled for the micro's (quite often at the moment!) then I tend to play a tight hit-and-run strategy. I sit down with a medium stack, say $1 or $1.50 in the $0.01/$0.02 games, wait for premium hands and bet as much as I think I'll get action on. If at any point i'm over $2, I'll just wait for the blinds to reach me, leave the table, and buy back in at another for minimum/average stack again.
This strategy doesn't allow you to get much of a feel for your opponents, but at these stakes that isn't much to worry about.
Hit-and-runs are great for players who complain about 'being up a bit, then losing it all to a mediocre hand'. It protects your winnings, only keeping your buy-in on the table for much of the time. If you do go broke, its only the buck from your starting stack, not a few dollars you've built up over an hour or so.
Once you've tightened your game up and plugged any leaks, and headed to higher levels, its much better to pick a table and grind than double up over a couple of hands and leave. The opponents are better and there is more on the table to lose if you come unstuck. For the micro's though...hit n run all the way.
As far as a bankroll, it depends who you ask. Strictly speaking, your meant to have around 50 maximum buy-in's for the stakes your at, which means for the 1/2cent tables, $2 buy in...$100 bankroll.
To be honest, I wouldn't worry too much about that. Your on the bottom rung currently and I would assume able to deposit if you need to? $50 would be a comfortable start while you grind these limits, but if you can re-load then dont worry about the BRM, just master your trade and impliment BRM at the 0.05/0.10 tables in a couple of months time.