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Competing at the 2-level

Over (1NT)

I suggest bidding mostly naturally over 1♥(1NT), including 2♣.

1♥(1NT)-
XPEN, INV+
2NT!LIM 4+♥ or UNBAL FG

Over a minor suit

Transfers à la Rubens applies over 1♥(2♣♦). Note that 2NT is natural because we still have 2♥.

1♥(2♣♦)-
XT/O
2♦♠NF, 5+#
2♥NF, 3+♥
2NTNAT, 9–11
3♦!LIM+, 3+♥
3♥CONST, 4+♥
3♠FG, 6+♠
1♥(2♣)-
3♣!INV+, 6+♦
1♥(2♦)-
3♣INV, 6+♣

Over a major suit

Rubinsohl applies when opponents bid spades, the only suit higher than our hearts. Responses 3♠ and above are the same as over 1♥(1♠).

1♥(2♠)-
X!OPT, INV+
2NT!TRF, 5+♣
1♥(2♥♠)-
3♣!TRF, 5+♦
3♦!INV+, 3+♥
3♥COMP, 3+♥
3♠!S/T, 3+♥ w/o ♠ CTRL
3NT!COG, 3+♥ w/ ♠ A/K
4♣!FRAG, 3+♥, 0–1♠
4♦!STR PRE, 4+♥
4♥PRE, UNBAL 4+♥

Doubling the cuebid is penalty oriented and lead directing. It promises strength, denies good distributional raise (balanced 3=♥ at most), and encourages leading from a side suit.

1♥(2♥)-
XPEN, INV+

If the only known suit from (2♥) is spades, plain Rubens suffices. X and 2NT somehow switch roles.

1♥(2♥)♠ (+ unknown suit)
2♠!TRF, 5+♣
2NT!NF T/O

If (2♥) shows two known suits, BTU vs Unusual applies.