Never open any 4441 hand in a major If you have both minors open 1D and raise partners 1H bid or bid 1S, if partner bids 1S raise or bid 2C, if partner bids 1NT raise his C suit,and if he bids clubs just raise [assuming 12/15] If you have both majors open the minor you have and bid as above, if necessary rebid the minor When it comes to points treat it as 12/15 or 16+[it is possible with 15 points and having found a major fit you could treat it as a 16 count,look at your losers,so a major fit and 15 points and a 6 loser then treat it as 16 count] With a 16+ count and say a singleton S [1D 1S you could now reverse into 2H] Also with a 16+ hand you can jump raise lets say a singleton D [1C 1S 3S] When you bid 2 suits you are saying you are a minimum 5 in the first and a minimum 4 in the second So if you bid say: 1H 1S 2C partner may put you into 4H or even 6H on a 4.3 fit[not recommended] [in all cases its better to lie about the minor suit than about a major] So I reiterate don't open a 4441 hand with a major After all playing 5 card majors[Americans,French,Germans etc.] they always open with the minor Some of you may like to rebid NT when partner bids your singleton and you hold the correct point range Personally its not my style as partner will expect 2/3 and may be annoyed to see a singleton, and also you can only do this when you have the correct point count,but some leeway has to be given to these hands as opener is forced to mislead partner whatever he does Sorry to the fairer sex: it,s just that I'm too lazy to keep typing he/she