I play 1.b3 now for 4 years as my main white opening on a ~2200 elo level and still enjoy it! Also I have reasonable results (~70% score) and even in my few defeats the opening has never been the problem.
 
1.b3 is not a beginners opening, you should have already developed a strategical understanding before entering this, especially experience with 1.c4 is very useful!   
 
For 1.b3 starters the books by Dunnington and Jacobs/Tait are very good. You can get some ideas and the very little of necessary theory, afterwards search new games in TWIC from Pavel Blatny for example. But don´t forget the main goal: leaving theory on move 3   
 
1...f5 is very good - from the white side of view! After 2.Bb2 already has problems:   
- 2...Nf6 3.Bxf6! is a very good structure for white
- 2...d6 with the idea of 3...Nbd7 and 4...Ngf6 should be answered by transposition to dutch main variations where Nbd7 is unusual (and bad)
- 2...e6 3.e4! fxe4? 4.Qh5+ Ke7 (g6 5.Qe5 +-) must be good for white though there´s no forced win. This is a very good scorer in blitz games! Some russians have tried 3...Qh4!? but 4.exf5 or even the gambit 4.Nf3 Qxe4+ 5.Be2 looks promising
 
1...Nf6 2.Bb2 g6!? 3.Bxf6! exf6 4.c4! is a good kind of the tromp, white can still cover e4 with d2-d3.
 
1...e5 is of course the main variation with most often 2.Bb2 Nc6 to follow. Now 3.c4 or 3.Nf3 are possible but you should play 3.e3 with no fear in view of 3...d5 because that´s exactly the kind of play you´re aiming for - white gets a slight advantage! After 3...Nf6 you can play 4.c4 (look at Fischer-Andersson, Siegen1970, 1:0) or 4.Bb5 with complicated positions after both 4...d6 and 4...Bd6!? . - In case of 1.b3 e5 2.Bb2 d6 try 3.e3 with an early d2-d4, especially if black adds f7-f5: then after e5-e4 you can use f4 as an outpost for your kings knight. The second (and maybe best) possibility is to play 3.g3 and transpose to main lines of the kings indian fianchetto variation (but only  while knowing theory a little bit), it´s very likely that you can get a system with Nb8-d7 on blacks side, while in the KI move order other systems with Nb8-c6 are supposed to be more active (sorry, I can´t discuss every possible move order concerning this).
 
Maybe most annoying is 1...d5. There´s no simple way to play for initiative, but there are many ways to try. Most black players know 1.b3 d5 2.Bb2 c5 3.e3 Nc6 4.Bb5 as good for white so they will delay c7-c5 for a while - in fact not often white gets a nimzo or queensindian with an extra move
After 2.Bb2 c5 3.e3 a6 play 4.Nf3 Nc6 5.d4! and enter a colle/zukertort with an useless a6 for black. This white structure you can also enter in any case though against other black setups it´s harmless (but useful as a backup line).
Playing a Bird with 3./4. f2-f4 always sharpens the game - when black has looked in his queens bishop with e7-e6 it´s quite promising. With blacks bishop on f5 or g4 you can play coffeehouse style with f3/g4/h4 hunting this piece! But be careful, you really take positional risks!
The third idea gainst d5-setups is to fianchetto both bishops and play a Reti. Most often black counters with a London or New York setup: 1.b3 d5 2.Bb2 Nf6 3.g3 Bf5/g4 4.Bg2 c6 5.Nf3 e6 6.0-0 Nbd7 7.c4 Be7 ... As I play this line with both colours I cannot promise an advantage for white.   
 
Other moves as 1...c5 or 1...b6 are possible but rare. Just play chess! By the way: for sure your opponents even know less than you about the opening! In most of my tournament games they needed half an hour to reach move 5   
 
tracke